90195880 has 128 divisors (see below), whose sum is σ = 230169600. Its totient is φ = 31629312.

The previous prime is 90195871. The next prime is 90195883. The reversal of 90195880 is 8859109.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (90195883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141681 + ... + 1141759.

It is an arithmetic number, because the mean of its divisors is an integer number (1798200).

Almost surely, 2^90195880 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 90195880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115084800).

90195880 is an abundant number, since it is smaller than the sum of its proper divisors (139973720).

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

90195880 is a wasteful number, since it uses less digits than its factorization.

90195880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 40.

The square root of 90195880 is about 9497.1511517928. The cubic root of 90195880 is about 448.4653566892.

The spelling of 90195880 in words is "ninety million, one hundred ninety-five thousand, eight hundred eighty".