90882800 has 30 divisors (see below), whose sum is σ = 218346888. Its totient is φ = 36352960.

The previous prime is 90882791. The next prime is 90882809. The reversal of 90882800 is 828809.

It is an interprime number because it is at equal distance from previous prime (90882791) and next prime (90882809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90882809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 113204 + ... + 114003.

Almost surely, 2^90882800 is an apocalyptic number.

It is an amenable number.

90882800 is an abundant number, since it is smaller than the sum of its proper divisors (127464088).

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

90882800 is a wasteful number, since it uses less digits than its factorization.

90882800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227225 (or 227214 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 90882800 is about 9533.2470858569. The cubic root of 90882800 is about 449.6009631316.

The spelling of 90882800 in words is "ninety million, eight hundred eighty-two thousand, eight hundred".