90738180 has 144 divisors (see below), whose sum is σ = 313984944. Its totient is φ = 21012480.

The previous prime is 90738139. The next prime is 90738199. The reversal of 90738180 is 8183709.

It can be written as a sum of positive squares in 8 ways, for example, as 412164 + 90326016 = 642^2 + 9504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 38640 + ... + 40920.

It is an arithmetic number, because the mean of its divisors is an integer number (2180451).

Almost surely, 2^90738180 is an apocalyptic number.

90738180 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 90738180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156992472).

90738180 is an abundant number, since it is smaller than the sum of its proper divisors (223246764).

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

90738180 is a wasteful number, since it uses less digits than its factorization.

90738180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 90738180 is about 9525.6590323190. The cubic root of 90738180 is about 449.3623561534.

The spelling of 90738180 in words is "ninety million, seven hundred thirty-eight thousand, one hundred eighty".