90942480 has 160 divisors (see below), whose sum is σ = 318193920. Its totient is φ = 23869440.

The previous prime is 90942443. The next prime is 90942497. The reversal of 90942480 is 8424909.

It is a happy number.

90942480 is a `hidden beast` number, since 90 + 94 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153064 + ... + 153656.

It is an arithmetic number, because the mean of its divisors is an integer number (1988712).

Almost surely, 2^90942480 is an apocalyptic number.

90942480 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 90942480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159096960).

90942480 is an abundant number, since it is smaller than the sum of its proper divisors (227251440).

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

90942480 is a wasteful number, since it uses less digits than its factorization.

90942480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90942480 is about 9536.3766704131. The cubic root of 90942480 is about 449.6993547390.

The spelling of 90942480 in words is "ninety million, nine hundred forty-two thousand, four hundred eighty".