7622496 has 144 divisors (see below), whose sum is σ = 26208000. Its totient is φ = 2052864.

The previous prime is 7622491. The next prime is 7622519. The reversal of 7622496 is 6942267.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7622496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7622491) 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 23 ways as a sum of consecutive naturals, for example, 38205 + ... + 38403.

It is an arithmetic number, because the mean of its divisors is an integer number (182000).

Almost surely, 2^7622496 is an apocalyptic number.

7622496 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7622496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13104000).

7622496 is an abundant number, since it is smaller than the sum of its proper divisors (18585504).

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

7622496 is a wasteful number, since it uses less digits than its factorization.

7622496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 7622496 is about 2760.8868140509. The cubic root of 7622496 is about 196.8033114652.

It can be divided in two parts, 7622 and 496, that added together give a palindrome (8118).

The spelling of 7622496 in words is "seven million, six hundred twenty-two thousand, four hundred ninety-six".