890628516 has 18 divisors (see below), whose sum is σ = 2251311062. Its totient is φ = 296876160.

The previous prime is 890628503. The next prime is 890628523. The reversal of 890628516 is 615826098.

890628516 is a `hidden beast` number, since 8 + 9 + 0 + 628 + 5 + 16 = 666.

890628516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 587868516 + 302760000 = 24246^2 + 17400^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12369805 + ... + 12369876.

Almost surely, 2^890628516 is an apocalyptic number.

It is an amenable number.

890628516 is an abundant number, since it is smaller than the sum of its proper divisors (1360682546).

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

890628516 is a wasteful number, since it uses less digits than its factorization.

890628516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24739691 (or 24739686 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 890628516 is about 29843.3998733388. The cubic root of 890628516 is about 962.1265489069.

The spelling of 890628516 in words is "eight hundred ninety million, six hundred twenty-eight thousand, five hundred sixteen".