6291264 has 112 divisors (see below), whose sum is σ = 19767296. Its totient is φ = 1728000.

The previous prime is 6291253. The next prime is 6291269. The reversal of 6291264 is 4621926.

6291264 = T₅₇ + T₅₈ + ... + T₃₃₅.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6291269) 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, 41589 + ... + 41739.

Almost surely, 2^6291264 is an apocalyptic number.

6291264 is a gapful number since it is divisible by the number (64) 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 6291264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9883648).

6291264 is an abundant number, since it is smaller than the sum of its proper divisors (13476032).

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

6291264 is a wasteful number, since it uses less digits than its factorization.

6291264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 6291264 is about 2508.2392230407. The cubic root of 6291264 is about 184.6060670511.

It can be divided in two parts, 6291 and 264, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 6291264 in words is "six million, two hundred ninety-one thousand, two hundred sixty-four".