90748800 has 288 divisors, whose sum is σ = 340357680. Its totient is φ = 22978560.

The previous prime is 90748789. The next prime is 90748837. The reversal of 90748800 is 884709.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 662332 + ... + 662468.

Almost surely, 2^90748800 is an apocalyptic number.

90748800 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 90748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170178840).

90748800 is an abundant number, since it is smaller than the sum of its proper divisors (249608880).

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

90748800 is a wasteful number, since it uses less digits than its factorization.

90748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 170 counting only the distinct ones).

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

The square root of 90748800 is about 9526.2164577549. The cubic root of 90748800 is about 449.3798865985.

The spelling of 90748800 in words is "ninety million, seven hundred forty-eight thousand, eight hundred".