7613676 has 84 divisors (see below), whose sum is σ = 22891792. Its totient is φ = 2169504.

The previous prime is 7613653. The next prime is 7613677. The reversal of 7613676 is 6763167.

It is a tau number, because it is divible by the number of its divisors (84).

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 7613676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7613677) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20226 + ... + 20598.

Almost surely, 2^7613676 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 7613676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11445896).

7613676 is an abundant number, since it is smaller than the sum of its proper divisors (15278116).

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

7613676 is a wasteful number, since it uses less digits than its factorization.

7613676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 7613676 is about 2759.2890388649. The cubic root of 7613676 is about 196.7273750467.

The spelling of 7613676 in words is "seven million, six hundred thirteen thousand, six hundred seventy-six".