260064000 has 576 divisors, whose sum is σ = 1122401280. Its totient is φ = 58060800.

The previous prime is 260063989. The next prime is 260064017. The reversal of 260064000 is 460062.

260064000 is a `hidden beast` number, since 2 + 600 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6047979 + ... + 6048021.

Almost surely, 2^260064000 is an apocalyptic number.

260064000 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 260064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561200640).

260064000 is an abundant number, since it is smaller than the sum of its proper divisors (862337280).

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

260064000 is an equidigital number, since it uses as much as digits as its factorization.

260064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 260064000 is about 16126.4999302390. The cubic root of 260064000 is about 638.3027948557.

260064000 divided by its sum of digits (18) gives a triangular number (14448000 = T₅₃₇₅).

The spelling of 260064000 in words is "two hundred sixty million, sixty-four thousand".