7612416 has 144 divisors (see below), whose sum is σ = 25552800. Its totient is φ = 2138112.

The previous prime is 7612403. The next prime is 7612427. The reversal of 7612416 is 6142167.

7612416 is a `hidden beast` number, since 7 + 612 + 41 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7612416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128995 + ... + 129053.

It is an arithmetic number, because the mean of its divisors is an integer number (177450).

Almost surely, 2^7612416 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 7612416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12776400).

7612416 is an abundant number, since it is smaller than the sum of its proper divisors (17940384).

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

7612416 is a wasteful number, since it uses less digits than its factorization.

7612416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 7612416 is about 2759.0607097344. The cubic root of 7612416 is about 196.7165222003.

The spelling of 7612416 in words is "seven million, six hundred twelve thousand, four hundred sixteen".