7413888 has 64 divisors (see below), whose sum is σ = 20196000. Its totient is φ = 2408448.

The previous prime is 7413877. The next prime is 7413893. The reversal of 7413888 is 8883147.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16288 + ... + 16736.

Almost surely, 2^7413888 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 7413888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10098000).

7413888 is an abundant number, since it is smaller than the sum of its proper divisors (12782112).

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

7413888 is a wasteful number, since it uses less digits than its factorization.

7413888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 497 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 7413888 is about 2722.8455703547. The cubic root of 7413888 is about 194.9913474136.

Subtracting from 7413888 its product of digits (43008), we obtain a triangular number (7370880 = T₃₈₃₉).

The spelling of 7413888 in words is "seven million, four hundred thirteen thousand, eight hundred eighty-eight".