90877500 has 180 divisors, whose sum is σ = 328632304. Its totient is φ = 20736000.

The previous prime is 90877499. The next prime is 90877519. The reversal of 90877500 is 577809.

It is a tau number, because it is divible by the number of its divisors (180).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 157212 + ... + 157788.

Almost surely, 2^90877500 is an apocalyptic number.

90877500 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 90877500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164316152).

90877500 is an abundant number, since it is smaller than the sum of its proper divisors (237754804).

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

90877500 is a wasteful number, since it uses less digits than its factorization.

90877500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 90877500 is about 9532.9691072614. The cubic root of 90877500 is about 449.5922231888.

The spelling of 90877500 in words is "ninety million, eight hundred seventy-seven thousand, five hundred".