890239680 has 896 divisors, whose sum is σ = 3950208000. Its totient is φ = 185794560.

The previous prime is 890239667. The next prime is 890239711. The reversal of 890239680 is 86932098.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30697906 + ... + 30697934.

Almost surely, 2^890239680 is an apocalyptic number.

890239680 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 890239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975104000).

890239680 is an abundant number, since it is smaller than the sum of its proper divisors (3059968320).

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

890239680 is a wasteful number, since it uses less digits than its factorization.

890239680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 890239680 is about 29836.8845558647. The cubic root of 890239680 is about 961.9865115105.

The spelling of 890239680 in words is "eight hundred ninety million, two hundred thirty-nine thousand, six hundred eighty".