90871680 has 256 divisors, whose sum is σ = 317260800. Its totient is φ = 22044672.

The previous prime is 90871663. The next prime is 90871691. The reversal of 90871680 is 8617809.

It is a hoax number, since the sum of its digits (39) 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, 1714534 + ... + 1714586.

It is an arithmetic number, because the mean of its divisors is an integer number (1239300).

Almost surely, 2^90871680 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 90871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630400).

90871680 is an abundant number, since it is smaller than the sum of its proper divisors (226389120).

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

90871680 is a wasteful number, since it uses less digits than its factorization.

90871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 90871680 is about 9532.6638459562. The cubic root of 90871680 is about 449.5826253507.

The spelling of 90871680 in words is "ninety million, eight hundred seventy-one thousand, six hundred eighty".