90978480 has 60 divisors (see below), whose sum is σ = 305538480. Its totient is φ = 24260736.

The previous prime is 90978469. The next prime is 90978487. The reversal of 90978480 is 8487909.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×90978480² = 16554167646220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (90978487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62460 + ... + 63899.

It is an arithmetic number, because the mean of its divisors is an integer number (5092308).

Almost surely, 2^90978480 is an apocalyptic number.

90978480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90978480 is an abundant number, since it is smaller than the sum of its proper divisors (214560000).

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

90978480 is a wasteful number, since it uses less digits than its factorization.

90978480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126378 (or 126369 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 90978480 is about 9538.2639929916. The cubic root of 90978480 is about 449.7586854319.

The spelling of 90978480 in words is "ninety million, nine hundred seventy-eight thousand, four hundred eighty".