632053152 has 96 divisors (see below), whose sum is σ = 1861997760. Its totient is φ = 208569600.

The previous prime is 632053151. The next prime is 632053153. The reversal of 632053152 is 251350236.

632053152 is a `hidden beast` number, since 63 + 20 + 531 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (632053151) and next prime (632053153).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (632053151) 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, 83643 + ... + 90885.

It is an arithmetic number, because the mean of its divisors is an integer number (19395810).

Almost surely, 2^632053152 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 632053152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930998880).

632053152 is an abundant number, since it is smaller than the sum of its proper divisors (1229944608).

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

632053152 is a wasteful number, since it uses less digits than its factorization.

632053152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7363 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 632053152 is about 25140.6672942466. The cubic root of 632053152 is about 858.1921424049.

The spelling of 632053152 in words is "six hundred thirty-two million, fifty-three thousand, one hundred fifty-two".