5916456 has 192 divisors, whose sum is σ = 21067200. Its totient is φ = 1524096.

The previous prime is 5916439. The next prime is 5916457. The reversal of 5916456 is 6546195.

5916456 is a `hidden beast` number, since 5 + 9 + 1 + 645 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5916456.

It is not an unprimeable number, because it can be changed into a prime (5916457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137571 + ... + 137613.

It is an arithmetic number, because the mean of its divisors is an integer number (109725).

Almost surely, 2^5916456 is an apocalyptic number.

5916456 is a gapful number since it is divisible by the number (56) 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 5916456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533600).

5916456 is an abundant number, since it is smaller than the sum of its proper divisors (15150744).

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

5916456 is a wasteful number, since it uses less digits than its factorization.

5916456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 68 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 5916456 is about 2432.3766155758. The cubic root of 5916456 is about 180.8647280444.

The spelling of 5916456 in words is "five million, nine hundred sixteen thousand, four hundred fifty-six".