890987160 has 128 divisors (see below), whose sum is σ = 3061255680. Its totient is φ = 203225088.

The previous prime is 890987101. The next prime is 890987191. The reversal of 890987160 is 61789098.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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, 572944 + ... + 574496.

It is an arithmetic number, because the mean of its divisors is an integer number (23916060).

Almost surely, 2^890987160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890987160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530627840).

890987160 is an abundant number, since it is smaller than the sum of its proper divisors (2170268520).

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

890987160 is a wasteful number, since it uses less digits than its factorization.

890987160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 890987160 is about 29849.4080343313. The cubic root of 890987160 is about 962.2556766712.

It can be divided in two parts, 8909 and 87160, that added together give a palindrome (96069).

The spelling of 890987160 in words is "eight hundred ninety million, nine hundred eighty-seven thousand, one hundred sixty".