90554256 has 135 divisors (see below), whose sum is σ = 278992467. Its totient is φ = 27406080.

The previous prime is 90554239. The next prime is 90554267. The reversal of 90554256 is 65245509.

90554256 = T₂₃ + T₂₄ + ... + T₈₁₅.

The square root of 90554256 is 9516.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 63680400 + 26873856 = 7980^2 + 5184^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90554256.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1484466 + ... + 1484526.

Almost surely, 2^90554256 is an apocalyptic number.

90554256 is the 9516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90554256

90554256 is an abundant number, since it is smaller than the sum of its proper divisors (188438211).

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

90554256 is a wasteful number, since it uses less digits than its factorization.

90554256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The cubic root of 90554256 is about 449.0585353982.

Multiplying 90554256 by its sum of digits (36), we get a square (3259953216 = 57096²).

90554256 divided by its sum of digits (36) gives a square (2515396 = 1586²).

The spelling of 90554256 in words is "ninety million, five hundred fifty-four thousand, two hundred fifty-six".