5951664 has 80 divisors (see below), whose sum is σ = 17856000. Its totient is φ = 1894464.

The previous prime is 5951663. The next prime is 5951669. The reversal of 5951664 is 4661595.

5951664 is a `hidden beast` number, since 595 + 1 + 6 + 64 = 666.

5951664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (5951663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9637 + ... + 10235.

It is an arithmetic number, because the mean of its divisors is an integer number (223200).

Almost surely, 2^5951664 is an apocalyptic number.

5951664 is a gapful number since it is divisible by the number (54) 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 5951664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928000).

5951664 is an abundant number, since it is smaller than the sum of its proper divisors (11904336).

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

5951664 is a wasteful number, since it uses less digits than its factorization.

5951664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 627 counting only the distinct ones).

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

The square root of 5951664 is about 2439.6032464317. The cubic root of 5951664 is about 181.2227856088. Note that the first 3 decimals are identical.

The spelling of 5951664 in words is "five million, nine hundred fifty-one thousand, six hundred sixty-four".