120629632 has 64 divisors (see below), whose sum is σ = 255265200. Its totient is φ = 56623104.

The previous prime is 120629629. The next prime is 120629633. The reversal of 120629632 is 236926021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 120629594 and 120629603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120629633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469248 + ... + 469504.

Almost surely, 2^120629632 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 120629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127632600).

120629632 is an abundant number, since it is smaller than the sum of its proper divisors (134635568).

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

120629632 is a wasteful number, since it uses less digits than its factorization.

120629632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 120629632 is about 10983.1521886934. The cubic root of 120629632 is about 494.1035804808.

The spelling of 120629632 in words is "one hundred twenty million, six hundred twenty-nine thousand, six hundred thirty-two".