120376640 has 56 divisors (see below), whose sum is σ = 289270440. Its totient is φ = 47710208.

The previous prime is 120376639. The next prime is 120376661. The reversal of 120376640 is 46673021.

It can be written as a sum of positive squares in 4 ways, for example, as 430336 + 119946304 = 656^2 + 10952^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34496 + ... + 37824.

Almost surely, 2^120376640 is an apocalyptic number.

120376640 is a gapful number since it is divisible by the number (10) 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 120376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144635220).

120376640 is an abundant number, since it is smaller than the sum of its proper divisors (168893800).

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

120376640 is a wasteful number, since it uses less digits than its factorization.

120376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 120376640 is about 10971.6288672193. The cubic root of 120376640 is about 493.7579170872.

The spelling of 120376640 in words is "one hundred twenty million, three hundred seventy-six thousand, six hundred forty".