64976000 has 128 divisors (see below), whose sum is σ = 168030720. Its totient is φ = 24960000.

The previous prime is 64975993. The next prime is 64976003. The reversal of 64976000 is 67946.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (64976003) 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, 495935 + ... + 496065.

It is an arithmetic number, because the mean of its divisors is an integer number (1312740).

Almost surely, 2^64976000 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 64976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84015360).

64976000 is an abundant number, since it is smaller than the sum of its proper divisors (103054720).

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

64976000 is a wasteful number, since it uses less digits than its factorization.

64976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 64976000 is about 8060.7691940658. The cubic root of 64976000 is about 402.0230839116.

The spelling of 64976000 in words is "sixty-four million, nine hundred seventy-six thousand".