64267920 has 60 divisors (see below), whose sum is σ = 215835516. Its totient is φ = 17137920.

The previous prime is 64267897. The next prime is 64267949. The reversal of 64267920 is 2976246.

It is a happy number.

64267920 is a `hidden beast` number, since 642 + 6 + 7 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23970816 + 40297104 = 4896^2 + 6348^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×64267920² = 8260731082252800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43911 + ... + 45350.

Almost surely, 2^64267920 is an apocalyptic number.

64267920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64267920 is an abundant number, since it is smaller than the sum of its proper divisors (151567596).

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

64267920 is a wasteful number, since it uses less digits than its factorization.

64267920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89280 (or 89271 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 64267920 is about 8016.7275118966. The cubic root of 64267920 is about 400.5573895980.

The spelling of 64267920 in words is "sixty-four million, two hundred sixty-seven thousand, nine hundred twenty".