90882000 has 480 divisors, whose sum is σ = 380225664. Its totient is φ = 20736000.

The previous prime is 90881981. The next prime is 90882013. The reversal of 90882000 is 28809.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5345992 + ... + 5346008.

Almost surely, 2^90882000 is an apocalyptic number.

90882000 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 90882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190112832).

90882000 is an abundant number, since it is smaller than the sum of its proper divisors (289343664).

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

90882000 is a wasteful number, since it uses less digits than its factorization.

90882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 90882000 is about 9533.2051273431. The cubic root of 90882000 is about 449.5996439168.

The spelling of 90882000 in words is "ninety million, eight hundred eighty-two thousand".