890556960 has 48 divisors (see below), whose sum is σ = 2805255936. Its totient is φ = 237481728.

The previous prime is 890556949. The next prime is 890556971. The reversal of 890556960 is 69655098.

It is an interprime number because it is at equal distance from previous prime (890556949) and next prime (890556971).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 927184 + ... + 928143.

It is an arithmetic number, because the mean of its divisors is an integer number (58442832).

Almost surely, 2^890556960 is an apocalyptic number.

890556960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

890556960 is an abundant number, since it is smaller than the sum of its proper divisors (1914698976).

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

890556960 is a wasteful number, since it uses less digits than its factorization.

890556960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855345 (or 1855337 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 890556960 is about 29842.2009912138. The cubic root of 890556960 is about 962.1007814217.

The spelling of 890556960 in words is "eight hundred ninety million, five hundred fifty-six thousand, nine hundred sixty".