7456644 has 96 divisors (see below), whose sum is σ = 21450240. Its totient is φ = 2225664.

The previous prime is 7456639. The next prime is 7456663. The reversal of 7456644 is 4466547.

7456644 is a `hidden beast` number, since 7 + 4 + 5 + 6 + 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 = 7456599 and 7456608.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 65932 + ... + 66044.

It is an arithmetic number, because the mean of its divisors is an integer number (223440).

Almost surely, 2^7456644 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 7456644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10725120).

7456644 is an abundant number, since it is smaller than the sum of its proper divisors (13993596).

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

7456644 is a wasteful number, since it uses less digits than its factorization.

7456644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 7456644 is about 2730.6856281894. The cubic root of 7456644 is about 195.3654684583.

It can be divided in two parts, 7456 and 644, that added together give a square (8100 = 90²).

The spelling of 7456644 in words is "seven million, four hundred fifty-six thousand, six hundred forty-four".