264880 has 80 divisors (see below), whose sum is σ = 785664. Its totient is φ = 80640.

The previous prime is 264871. The next prime is 264881. The reversal of 264880 is 88462.

264880 = T₃₂₃ + T₃₂₄ + ... + T₃₂₇.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×264880² = 140322828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (264881) by changing a digit.

264880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6139 + ... + 6181.

2²⁶⁴⁸⁸⁰ is an apocalyptic number.

264880 is a gapful number since it is divisible by the number (20) 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 264880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392832).

264880 is an abundant number, since it is smaller than the sum of its proper divisors (520784).

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

264880 is a wasteful number, since it uses less digits than its factorization.

264880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 264880 is about 514.6649395481. The cubic root of 264880 is about 64.2218860885.

The spelling of 264880 in words is "two hundred sixty-four thousand, eight hundred eighty".