390120960 has 160 divisors (see below), whose sum is σ = 1264919040. Its totient is φ = 102555648.

The previous prime is 390120959. The next prime is 390120961. The reversal of 390120960 is 69021093.

It is an interprime number because it is at equal distance from previous prime (390120959) and next prime (390120961).

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390120961) 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, 606399 + ... + 607041.

It is an arithmetic number, because the mean of its divisors is an integer number (7905744).

Almost surely, 2^390120960 is an apocalyptic number.

390120960 is a gapful number since it is divisible by the number (30) 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 390120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632459520).

390120960 is an abundant number, since it is smaller than the sum of its proper divisors (874798080).

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

390120960 is an equidigital number, since it uses as much as digits as its factorization.

390120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 390120960 is about 19751.4799445510. The cubic root of 390120960 is about 730.6898838829.

The spelling of 390120960 in words is "three hundred ninety million, one hundred twenty thousand, nine hundred sixty".