64577296 has 75 divisors (see below), whose sum is σ = 149609813. Its totient is φ = 27000960.

The previous prime is 64577281. The next prime is 64577311. The reversal of 64577296 is 69277546.

The square root of 64577296 is 8036.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (64577281) and next prime (64577311).

It can be written as a sum of positive squares in only one way, i.e., 3111696 + 61465600 = 1764^2 + 7840^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1575036 + ... + 1575076.

Almost surely, 2^64577296 is an apocalyptic number.

64577296 is the 8036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64577296

64577296 is an abundant number, since it is smaller than the sum of its proper divisors (85032517).

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

64577296 is an frugal number, since it uses more digits than its factorization.

64577296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 50 counting only the distinct ones).

The product of its digits is 635040, while the sum is 46.

The cubic root of 64577296 is about 401.1991017953.

The spelling of 64577296 in words is "sixty-four million, five hundred seventy-seven thousand, two hundred ninety-six".