264049968 has 160 divisors (see below), whose sum is σ = 854167552. Its totient is φ = 68428800.

The previous prime is 264049931. The next prime is 264050023. The reversal of 264049968 is 869940462.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265953 + ... + 266943.

Almost surely, 2^264049968 is an apocalyptic number.

264049968 is a gapful number since it is divisible by the number (28) 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 264049968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427083776).

264049968 is an abundant number, since it is smaller than the sum of its proper divisors (590117584).

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

264049968 is a wasteful number, since it uses less digits than its factorization.

264049968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 264049968 is about 16249.6143954249. The cubic root of 264049968 is about 641.5473366973.

The spelling of 264049968 in words is "two hundred sixty-four million, forty-nine thousand, nine hundred sixty-eight".