64979400 has 96 divisors (see below), whose sum is σ = 206951040. Its totient is φ = 16853760.

The previous prime is 64979399. The next prime is 64979419. The reversal of 64979400 is 497946.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20737 + ... + 23663.

It is an arithmetic number, because the mean of its divisors is an integer number (2155740).

Almost surely, 2^64979400 is an apocalyptic number.

64979400 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 64979400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103475520).

64979400 is an abundant number, since it is smaller than the sum of its proper divisors (141971640).

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

64979400 is a wasteful number, since it uses less digits than its factorization.

64979400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 64979400 is about 8060.9800892944. The cubic root of 64979400 is about 402.0300960117.

The spelling of 64979400 in words is "sixty-four million, nine hundred seventy-nine thousand, four hundred".