120884610 has 128 divisors (see below), whose sum is σ = 370427904. Its totient is φ = 24514560.

The previous prime is 120884609. The next prime is 120884623. The reversal of 120884610 is 16488021.

It is a super-2 number, since 2×120884610² = 29226177869704200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98722 + ... + 99938.

It is an arithmetic number, because the mean of its divisors is an integer number (2893968).

Almost surely, 2^120884610 is an apocalyptic number.

120884610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120884610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185213952).

120884610 is an abundant number, since it is smaller than the sum of its proper divisors (249543294).

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

120884610 is a wasteful number, since it uses less digits than its factorization.

120884610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 120884610 is about 10994.7537489477. The cubic root of 120884610 is about 494.4514686916.

The spelling of 120884610 in words is "one hundred twenty million, eight hundred eighty-four thousand, six hundred ten".