90753600 has 336 divisors, whose sum is σ = 354267008. Its totient is φ = 19906560.

The previous prime is 90753587. The next prime is 90753617. The reversal of 90753600 is 635709.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1243164 + ... + 1243236.

Almost surely, 2^90753600 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 90753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177133504).

90753600 is an abundant number, since it is smaller than the sum of its proper divisors (263513408).

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

90753600 is a wasteful number, since it uses less digits than its factorization.

90753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 90753600 is about 9526.4683907522. The cubic root of 90753600 is about 449.3878095148.

The spelling of 90753600 in words is "ninety million, seven hundred fifty-three thousand, six hundred".