90884160 has 224 divisors, whose sum is σ = 327477120. Its totient is φ = 23721984.

The previous prime is 90884153. The next prime is 90884161. The reversal of 90884160 is 6148809.

90884160 = T₃₂ + T₃₃ + ... + T₈₁₆.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (90884161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578802 + ... + 578958.

Almost surely, 2^90884160 is an apocalyptic number.

90884160 is a gapful number since it is divisible by the number (90) 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 90884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163738560).

90884160 is an abundant number, since it is smaller than the sum of its proper divisors (236592960).

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

90884160 is a wasteful number, since it uses less digits than its factorization.

90884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

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

The square root of 90884160 is about 9533.3184149067. The cubic root of 90884160 is about 449.6032057792.

The spelling of 90884160 in words is "ninety million, eight hundred eighty-four thousand, one hundred sixty".