64567152 has 80 divisors (see below), whose sum is σ = 199605280. Its totient is φ = 19865088.

The previous prime is 64567133. The next prime is 64567171. The reversal of 64567152 is 25176546.

It is a happy number.

64567152 is a `hidden beast` number, since 645 + 6 + 7 + 1 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (64567133) and next prime (64567171).

It is a super-2 number, since 2×64567152² = 8337834234782208, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133 + ... + 11364.

It is an arithmetic number, because the mean of its divisors is an integer number (2495066).

Almost surely, 2^64567152 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 64567152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99802640).

64567152 is an abundant number, since it is smaller than the sum of its proper divisors (135038128).

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

64567152 is a wasteful number, since it uses less digits than its factorization.

64567152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11527 (or 11515 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 64567152 is about 8035.3688154309. The cubic root of 64567152 is about 401.1780934995.

The spelling of 64567152 in words is "sixty-four million, five hundred sixty-seven thousand, one hundred fifty-two".