90265644 has 144 divisors (see below), whose sum is σ = 280193760. Its totient is φ = 25038720.

The previous prime is 90265633. The next prime is 90265649. The reversal of 90265644 is 44656209.

90265644 is a `hidden beast` number, since 9 + 0 + 2 + 6 + 5 + 644 = 666.

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 = 90265599 and 90265608.

It is not an unprimeable number, because it can be changed into a prime (90265649) 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 47 ways as a sum of consecutive naturals, for example, 195574 + ... + 196034.

It is an arithmetic number, because the mean of its divisors is an integer number (1945790).

Almost surely, 2^90265644 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 90265644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140096880).

90265644 is an abundant number, since it is smaller than the sum of its proper divisors (189928116).

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

90265644 is a wasteful number, since it uses less digits than its factorization.

90265644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 90265644 is about 9500.8233327433. The cubic root of 90265644 is about 448.5809520435.

It can be divided in two parts, 90265 and 644, that added together give a palindrome (90909).

The spelling of 90265644 in words is "ninety million, two hundred sixty-five thousand, six hundred forty-four".