64905672 has 64 divisors (see below), whose sum is σ = 183960000. Its totient is φ = 18918144.

The previous prime is 64905667. The next prime is 64905679. The reversal of 64905672 is 27650946.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 64905672.

It is not an unprimeable number, because it can be changed into a prime (64905679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454 + ... + 11402.

It is an arithmetic number, because the mean of its divisors is an integer number (2874375).

Almost surely, 2^64905672 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 64905672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91980000).

64905672 is an abundant number, since it is smaller than the sum of its proper divisors (119054328).

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

64905672 is a wasteful number, since it uses less digits than its factorization.

64905672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10990 (or 10986 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 64905672 is about 8056.4056501643. The cubic root of 64905672 is about 401.8779857915.

The spelling of 64905672 in words is "sixty-four million, nine hundred five thousand, six hundred seventy-two".