890408160 has 192 divisors, whose sum is σ = 3161410560. Its totient is φ = 234017280.

The previous prime is 890408149. The next prime is 890408171. The reversal of 890408160 is 61804098.

It is a happy number.

890408160 is a `hidden beast` number, since 8 + 90 + 408 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (890408149) and next prime (890408171).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305269 + ... + 308171.

It is an arithmetic number, because the mean of its divisors is an integer number (16465680).

Almost surely, 2^890408160 is an apocalyptic number.

890408160 is a gapful number since it is divisible by the number (80) 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 890408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580705280).

890408160 is an abundant number, since it is smaller than the sum of its proper divisors (2271002400).

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

890408160 is a wasteful number, since it uses less digits than its factorization.

890408160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 890408160 is about 29839.7077733680. The cubic root of 890408160 is about 962.0471937693.

The spelling of 890408160 in words is "eight hundred ninety million, four hundred eight thousand, one hundred sixty".