890040960 has 384 divisors, whose sum is σ = 3274689600. Its totient is φ = 230916096.

The previous prime is 890040953. The next prime is 890040971. The reversal of 890040960 is 69040098.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9175632 + ... + 9175728.

Almost surely, 2^890040960 is an apocalyptic number.

890040960 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 890040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637344800).

890040960 is an abundant number, since it is smaller than the sum of its proper divisors (2384648640).

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

890040960 is an equidigital number, since it uses as much as digits as its factorization.

890040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 890040960 is about 29833.5542636140. The cubic root of 890040960 is about 961.9149277225.

The spelling of 890040960 in words is "eight hundred ninety million, forty thousand, nine hundred sixty".