390106080 has 432 divisors, whose sum is σ = 1654642080. Its totient is φ = 81948672.

The previous prime is 390106061. The next prime is 390106091. The reversal of 390106080 is 80601093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1703406 + ... + 1703634.

It is an arithmetic number, because the mean of its divisors is an integer number (3830190).

Almost surely, 2^390106080 is an apocalyptic number.

390106080 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 390106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827321040).

390106080 is an abundant number, since it is smaller than the sum of its proper divisors (1264536000).

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

390106080 is a wasteful number, since it uses less digits than its factorization.

390106080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 390106080 is about 19751.1032603245. The cubic root of 390106080 is about 730.6805937696.

The spelling of 390106080 in words is "three hundred ninety million, one hundred six thousand, eighty".