64654400 has 84 divisors (see below), whose sum is σ = 168519348. Its totient is φ = 24330240.

The previous prime is 64654399. The next prime is 64654459. The reversal of 64654400 is 445646.

It can be written as a sum of positive squares in 6 ways, for example, as 141376 + 64513024 = 376^2 + 8032^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26012 + ... + 28388.

Almost surely, 2^64654400 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 64654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84259674).

64654400 is an abundant number, since it is smaller than the sum of its proper divisors (103864948).

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

64654400 is a wasteful number, since it uses less digits than its factorization.

64654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 64654400 is about 8040.7959804984. The cubic root of 64654400 is about 401.3587128561.

The spelling of 64654400 in words is "sixty-four million, six hundred fifty-four thousand, four hundred".