6913920 has 128 divisors (see below), whose sum is σ = 23819040. Its totient is φ = 1695744.

The previous prime is 6913897. The next prime is 6913943. The reversal of 6913920 is 293196.

6913920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6913897) and next prime (6913943).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24822 + ... + 25098.

Almost surely, 2^6913920 is an apocalyptic number.

6913920 is a gapful number since it is divisible by the number (60) 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 6913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11909520).

6913920 is an abundant number, since it is smaller than the sum of its proper divisors (16905120).

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

6913920 is a wasteful number, since it uses less digits than its factorization.

6913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 6913920 is about 2629.4333990425. The cubic root of 6913920 is about 190.5057623928.

The spelling of 6913920 in words is "six million, nine hundred thirteen thousand, nine hundred twenty".