64253952 has 208 divisors, whose sum is σ = 220174080. Its totient is φ = 18137088.

The previous prime is 64253951. The next prime is 64253957. The reversal of 64253952 is 25935246.

64253952 is a `hidden beast` number, since 642 + 5 + 3 + 9 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64253951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774103 + ... + 774185.

Almost surely, 2^64253952 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 64253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110087040).

64253952 is an abundant number, since it is smaller than the sum of its proper divisors (155920128).

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

64253952 is an equidigital number, since it uses as much as digits as its factorization.

64253952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 64253952 is about 8015.8562861369. The cubic root of 64253952 is about 400.5283684264.

It can be divided in two parts, 64 and 253952, that added together give a square (254016 = 504²).

The spelling of 64253952 in words is "sixty-four million, two hundred fifty-three thousand, nine hundred fifty-two".