264992080 has 40 divisors (see below), whose sum is σ = 621779400. Its totient is φ = 105020928.

The previous prime is 264992041. The next prime is 264992083. The reversal of 264992080 is 80299462.

It can be written as a sum of positive squares in 4 ways, for example, as 66520336 + 198471744 = 8156^2 + 14088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264992083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6475 + ... + 23914.

It is an arithmetic number, because the mean of its divisors is an integer number (15544485).

Almost surely, 2^264992080 is an apocalyptic number.

264992080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264992080 is an abundant number, since it is smaller than the sum of its proper divisors (356787320).

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

264992080 is a wasteful number, since it uses less digits than its factorization.

264992080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30511 (or 30505 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 264992080 is about 16278.5773334158. The cubic root of 264992080 is about 642.3094298725.

It can be divided in two parts, 2649920 and 80, that multiplied together give a square (211993600 = 14560²).

The spelling of 264992080 in words is "two hundred sixty-four million, nine hundred ninety-two thousand, eighty".