264786984 has 144 divisors (see below), whose sum is σ = 910185120. Its totient is φ = 68765760.

The previous prime is 264786967. The next prime is 264786989. The reversal of 264786984 is 489687462.

It is a super-2 number, since 2×264786984² = 140224293791632512, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 264786984.

It is not an unprimeable number, because it can be changed into a prime (264786989) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35397 + ... + 42219.

It is an arithmetic number, because the mean of its divisors is an integer number (6320730).

Almost surely, 2^264786984 is an apocalyptic number.

264786984 is a gapful number since it is divisible by the number (24) 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 264786984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455092560).

264786984 is an abundant number, since it is smaller than the sum of its proper divisors (645398136).

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

264786984 is a wasteful number, since it uses less digits than its factorization.

264786984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6860 (or 6846 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 264786984 is about 16272.2765463226. The cubic root of 264786984 is about 642.1436776284.

The spelling of 264786984 in words is "two hundred sixty-four million, seven hundred eighty-six thousand, nine hundred eighty-four".