90342800 has 60 divisors (see below), whose sum is σ = 220353456. Its totient is φ = 35587200.

The previous prime is 90342799. The next prime is 90342817. The reversal of 90342800 is 824309.

It is a self number, because there is not a number n which added to its sum of digits gives 90342800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25115 + ... + 28485.

Almost surely, 2^90342800 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 90342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110176728).

90342800 is an abundant number, since it is smaller than the sum of its proper divisors (130010656).

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

90342800 is a wasteful number, since it uses less digits than its factorization.

90342800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 90342800 is about 9504.8829556181. The cubic root of 90342800 is about 448.7087262211.

The spelling of 90342800 in words is "ninety million, three hundred forty-two thousand, eight hundred".