120653748 has 36 divisors (see below), whose sum is σ = 305333028. Its totient is φ = 40172160.

The previous prime is 120653723. The next prime is 120653759. The reversal of 120653748 is 847356021.

It can be written as a sum of positive squares in 2 ways, for example, as 72795024 + 47858724 = 8532^2 + 6918^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48208 + ... + 50648.

It is an arithmetic number, because the mean of its divisors is an integer number (8481473).

Almost surely, 2^120653748 is an apocalyptic number.

120653748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120653748 is an abundant number, since it is smaller than the sum of its proper divisors (184679280).

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

120653748 is a wasteful number, since it uses less digits than its factorization.

120653748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 120653748 is about 10984.2499971550. The cubic root of 120653748 is about 494.1365049726.

The spelling of 120653748 in words is "one hundred twenty million, six hundred fifty-three thousand, seven hundred forty-eight".