120625632 has 96 divisors (see below), whose sum is σ = 354564000. Its totient is φ = 39896064.

The previous prime is 120625601. The next prime is 120625691. The reversal of 120625632 is 236526021.

120625632 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 25 + 632 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 120625596 and 120625605.

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, 128268 + ... + 129204.

It is an arithmetic number, because the mean of its divisors is an integer number (3693375).

Almost surely, 2^120625632 is an apocalyptic number.

120625632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120625632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177282000).

120625632 is an abundant number, since it is smaller than the sum of its proper divisors (233938368).

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

120625632 is a wasteful number, since it uses less digits than its factorization.

120625632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 120625632 is about 10982.9700900986. The cubic root of 120625632 is about 494.0981190362.

The spelling of 120625632 in words is "one hundred twenty million, six hundred twenty-five thousand, six hundred thirty-two".