120618624 has 128 divisors (see below), whose sum is σ = 382279680. Its totient is φ = 32947200.

The previous prime is 120618623. The next prime is 120618661. The reversal of 120618624 is 426816021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 120618591 and 120618600.

It is not an unprimeable number, because it can be changed into a prime (120618623) 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, 60849 + ... + 62799.

It is an arithmetic number, because the mean of its divisors is an integer number (2986560).

Almost surely, 2^120618624 is an apocalyptic number.

120618624 is a gapful number since it is divisible by the number (14) 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 120618624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191139840).

120618624 is an abundant number, since it is smaller than the sum of its proper divisors (261661056).

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

120618624 is a wasteful number, since it uses less digits than its factorization.

120618624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 120618624 is about 10982.6510460817. The cubic root of 120618624 is about 494.0885502941.

The spelling of 120618624 in words is "one hundred twenty million, six hundred eighteen thousand, six hundred twenty-four".