64979600 has 120 divisors (see below), whose sum is σ = 186357120. Its totient is φ = 21288960.

The previous prime is 64979599. The next prime is 64979609. The reversal of 64979600 is 697946.

64979600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (64979609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63896 + ... + 64904.

It is an arithmetic number, because the mean of its divisors is an integer number (1552976).

Almost surely, 2^64979600 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 64979600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93178560).

64979600 is an abundant number, since it is smaller than the sum of its proper divisors (121377520).

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

64979600 is a wasteful number, since it uses less digits than its factorization.

64979600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 64979600 is about 8060.9924947242. The cubic root of 64979600 is about 402.0305084805.

The spelling of 64979600 in words is "sixty-four million, nine hundred seventy-nine thousand, six hundred".