7622640 has 80 divisors (see below), whose sum is σ = 26263200. Its totient is φ = 2032128.

The previous prime is 7622639. The next prime is 7622663. The reversal of 7622640 is 462267.

7622640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 396 + ... + 3924.

It is an arithmetic number, because the mean of its divisors is an integer number (328290).

Almost surely, 2^7622640 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 7622640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13131600).

7622640 is an abundant number, since it is smaller than the sum of its proper divisors (18640560).

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

7622640 is a wasteful number, since it uses less digits than its factorization.

7622640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7622640 is about 2760.9128925049. The cubic root of 7622640 is about 196.8045507574.

The spelling of 7622640 in words is "seven million, six hundred twenty-two thousand, six hundred forty".