5967864 has 64 divisors (see below), whose sum is σ = 18950400. Its totient is φ = 1704672.

The previous prime is 5967851. The next prime is 5967877. The reversal of 5967864 is 4687695.

It is an interprime number because it is at equal distance from previous prime (5967851) and next prime (5967877).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 462 + ... + 3485.

It is an arithmetic number, because the mean of its divisors is an integer number (296100).

Almost surely, 2^5967864 is an apocalyptic number.

5967864 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 5967864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9475200).

5967864 is an abundant number, since it is smaller than the sum of its proper divisors (12982536).

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

5967864 is a wasteful number, since it uses less digits than its factorization.

5967864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3959 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 5967864 is about 2442.9212021676. The cubic root of 5967864 is about 181.3870617653.

The spelling of 5967864 in words is "five million, nine hundred sixty-seven thousand, eight hundred sixty-four".