90074880 has 216 divisors, whose sum is σ = 356489952. Its totient is φ = 20570112.

The previous prime is 90074863. The next prime is 90074903. The reversal of 90074880 is 8847009.

It is a super-2 number, since 2×90074880² = 16226968014028800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80082 + ... + 81198.

Almost surely, 2^90074880 is an apocalyptic number.

90074880 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 90074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178244976).

90074880 is an abundant number, since it is smaller than the sum of its proper divisors (266415072).

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

90074880 is a wasteful number, since it uses less digits than its factorization.

90074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 90074880 is about 9490.7786824897. The cubic root of 90074880 is about 448.2647244951.

The spelling of 90074880 in words is "ninety million, seventy-four thousand, eight hundred eighty".