90349200 has 90 divisors (see below), whose sum is σ = 313549314. Its totient is φ = 24092160.

The previous prime is 90349183. The next prime is 90349201. The reversal of 90349200 is 294309.

It can be written as a sum of positive squares in 3 ways, for example, as 1838736 + 88510464 = 1356^2 + 9408^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (90349201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8949 + ... + 16148.

Almost surely, 2^90349200 is an apocalyptic number.

90349200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90349200 is an abundant number, since it is smaller than the sum of its proper divisors (223200114).

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

90349200 is a wasteful number, since it uses less digits than its factorization.

90349200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25121 (or 25107 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90349200 is about 9505.2196187148. The cubic root of 90349200 is about 448.7193216717.

The spelling of 90349200 in words is "ninety million, three hundred forty-nine thousand, two hundred".