90499680 has 120 divisors (see below), whose sum is σ = 319434192. Its totient is φ = 24129792.

The previous prime is 90499639. The next prime is 90499681. The reversal of 90499680 is 8699409.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90499681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9469 + ... + 16451.

Almost surely, 2^90499680 is an apocalyptic number.

90499680 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 90499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159717096).

90499680 is an abundant number, since it is smaller than the sum of its proper divisors (228934512).

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

90499680 is a wasteful number, since it uses less digits than its factorization.

90499680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7010 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 90499680 is about 9513.1319763788. The cubic root of 90499680 is about 448.9683031445.

The spelling of 90499680 in words is "ninety million, four hundred ninety-nine thousand, six hundred eighty".