65375640 has 128 divisors (see below), whose sum is σ = 237772800. Its totient is φ = 15845760.

The previous prime is 65375623. The next prime is 65375669. The reversal of 65375640 is 4657356.

65375640 is a `hidden beast` number, since 6 + 5 + 3 + 7 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65375595 and 65375604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9129 + ... + 14631.

It is an arithmetic number, because the mean of its divisors is an integer number (1857600).

Almost surely, 2^65375640 is an apocalyptic number.

65375640 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 65375640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118886400).

65375640 is an abundant number, since it is smaller than the sum of its proper divisors (172397160).

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

65375640 is a wasteful number, since it uses less digits than its factorization.

65375640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5534 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 65375640 is about 8085.5203914158. The cubic root of 65375640 is about 402.8456247111.

It can be divided in two parts, 653756 and 40, that added together give a triangular number (653796 = T₁₁₄₃).

The spelling of 65375640 in words is "sixty-five million, three hundred seventy-five thousand, six hundred forty".