90747600 has 120 divisors (see below), whose sum is σ = 297064320. Its totient is φ = 23669760.

The previous prime is 90747577. The next prime is 90747617. The reversal of 90747600 is 674709.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55596 + ... + 57204.

It is an arithmetic number, because the mean of its divisors is an integer number (2475536).

Almost surely, 2^90747600 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 90747600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148532160).

90747600 is an abundant number, since it is smaller than the sum of its proper divisors (206316720).

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

90747600 is a wasteful number, since it uses less digits than its factorization.

90747600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 90747600 is about 9526.1534734645. The cubic root of 90747600 is about 449.3779058258.

The spelling of 90747600 in words is "ninety million, seven hundred forty-seven thousand, six hundred".