7213680 has 120 divisors (see below), whose sum is σ = 24895728. Its totient is φ = 1870848.

The previous prime is 7213667. The next prime is 7213681. The reversal of 7213680 is 863127.

7213680 = T₁₄₄ + T₁₄₅ + ... + T₃₅₈.

It is a tau number, because it is divible by the number of its divisors (120).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7213681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30844 + ... + 31076.

Almost surely, 2^7213680 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 7213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12447864).

7213680 is an abundant number, since it is smaller than the sum of its proper divisors (17682048).

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

7213680 is a wasteful number, since it uses less digits than its factorization.

7213680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 286 counting only the distinct ones).

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

The square root of 7213680 is about 2685.8294808122. The cubic root of 7213680 is about 193.2200948711.

The spelling of 7213680 in words is "seven million, two hundred thirteen thousand, six hundred eighty".