65713440 has 96 divisors (see below), whose sum is σ = 222941376. Its totient is φ = 16174080.

The previous prime is 65713423. The next prime is 65713441. The reversal of 65713440 is 4431756.

65713440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 65713398 and 65713407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65713441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975 + ... + 11505.

It is an arithmetic number, because the mean of its divisors is an integer number (2322306).

Almost surely, 2^65713440 is an apocalyptic number.

65713440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111470688).

65713440 is an abundant number, since it is smaller than the sum of its proper divisors (157227936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65713440 is a wasteful number, since it uses less digits than its factorization.

65713440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10562 (or 10554 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 65713440 is about 8106.3826704641. The cubic root of 65713440 is about 403.5382758904.

It can be divided in two parts, 6571 and 3440, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 65713440 in words is "sixty-five million, seven hundred thirteen thousand, four hundred forty".