65164640 has 48 divisors (see below), whose sum is σ = 155176560. Its totient is φ = 25858560.

The previous prime is 65164639. The next prime is 65164667. The reversal of 65164640 is 4646156.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 65164597 and 65164606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19406 + ... + 22514.

It is an arithmetic number, because the mean of its divisors is an integer number (3232845).

Almost surely, 2^65164640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77588280).

65164640 is an abundant number, since it is smaller than the sum of its proper divisors (90011920).

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

65164640 is a wasteful number, since it uses less digits than its factorization.

65164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 65164640 is about 8072.4618301978. The cubic root of 65164640 is about 402.4117626106.

The spelling of 65164640 in words is "sixty-five million, one hundred sixty-four thousand, six hundred forty".