90074800 has 60 divisors (see below), whose sum is σ = 219699976. Its totient is φ = 35481600.

The previous prime is 90074767. The next prime is 90074807. The reversal of 90074800 is 847009.

It is a super-2 number, since 2×90074800² = 16226939190080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90074807) 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, 25120 + ... + 28480.

Almost surely, 2^90074800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109849988).

90074800 is an abundant number, since it is smaller than the sum of its proper divisors (129625176).

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

90074800 is a wasteful number, since it uses less digits than its factorization.

90074800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 90074800 is about 9490.7744678714. The cubic root of 90074800 is about 448.2645917863.

The spelling of 90074800 in words is "ninety million, seventy-four thousand, eight hundred".