90918144 has 54 divisors (see below), whose sum is σ = 262146066. Its totient is φ = 30305280.

The previous prime is 90918143. The next prime is 90918181. The reversal of 90918144 is 44181909.

It can be written as a sum of positive squares in only one way, i.e., 70560000 + 20358144 = 8400^2 + 4512^2 .

It is a super-2 number, since 2×90918144² = 16532217816809472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 90918099 and 90918108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90918143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17427 + ... + 22034.

Almost surely, 2^90918144 is an apocalyptic number.

It is an amenable number.

90918144 is an abundant number, since it is smaller than the sum of its proper divisors (171227922).

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

90918144 is a wasteful number, since it uses less digits than its factorization.

90918144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39483 (or 39466 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 90918144 is about 9535.1006287296. The cubic root of 90918144 is about 449.6592383203.

The spelling of 90918144 in words is "ninety million, nine hundred eighteen thousand, one hundred forty-four".