890815920 has 80 divisors (see below), whose sum is σ = 2802796800. Its totient is φ = 234001152.

The previous prime is 890815883. The next prime is 890815943. The reversal of 890815920 is 29518098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 11620 + ... + 43779.

It is an arithmetic number, because the mean of its divisors is an integer number (35034960).

Almost surely, 2^890815920 is an apocalyptic number.

890815920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

890815920 is an abundant number, since it is smaller than the sum of its proper divisors (1911980880).

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

890815920 is a wasteful number, since it uses less digits than its factorization.

890815920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55482 (or 55476 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 890815920 is about 29846.5394979049. The cubic root of 890815920 is about 962.1940269914.

The spelling of 890815920 in words is "eight hundred ninety million, eight hundred fifteen thousand, nine hundred twenty".