7257636 has 27 divisors (see below), whose sum is σ = 18386641. Its totient is φ = 2413824.

The previous prime is 7257629. The next prime is 7257659. The reversal of 7257636 is 6367527.

It is a happy number.

The square root of 7257636 is 2694.

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

It can be written as a sum of positive squares in only one way, i.e., 4435236 + 2822400 = 2106^2 + 1680^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7257636.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15940 + ... + 16388.

Almost surely, 2^7257636 is an apocalyptic number.

7257636 is the 2694-th square number.

It is an amenable number.

7257636 is an abundant number, since it is smaller than the sum of its proper divisors (11129005).

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

7257636 is a wasteful number, since it uses less digits than its factorization.

7257636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 454 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The cubic root of 7257636 is about 193.6117576471.

Multiplying 7257636 by its sum of digits (36), we get a square (261274896 = 16164²).

7257636 divided by its sum of digits (36) gives a square (201601 = 449²).

The spelling of 7257636 in words is "seven million, two hundred fifty-seven thousand, six hundred thirty-six".