65252640 has 96 divisors (see below), whose sum is σ = 208716480. Its totient is φ = 17132544.

The previous prime is 65252623. The next prime is 65252651. The reversal of 65252640 is 4625256.

65252640 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 = 65252598 and 65252607.

It is an unprimeable number.

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, 31146 + ... + 33174.

It is an arithmetic number, because the mean of its divisors is an integer number (2174130).

Almost surely, 2^65252640 is an apocalyptic number.

65252640 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 65252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104358240).

65252640 is an abundant number, since it is smaller than the sum of its proper divisors (143463840).

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

65252640 is a wasteful number, since it uses less digits than its factorization.

65252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 65252640 is about 8077.9106209465. The cubic root of 65252640 is about 402.5928235179.

Adding to 65252640 its reverse (4625256), we get a palindrome (69877896).

The spelling of 65252640 in words is "sixty-five million, two hundred fifty-two thousand, six hundred forty".