260624640 has 144 divisors (see below), whose sum is σ = 845627328. Its totient is φ = 68395008.

The previous prime is 260624627. The next prime is 260624699. The reversal of 260624640 is 46426062.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 260624598 and 260624607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256774 + ... + 257786.

It is an arithmetic number, because the mean of its divisors is an integer number (5872412).

Almost surely, 2^260624640 is an apocalyptic number.

260624640 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 260624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422813664).

260624640 is an abundant number, since it is smaller than the sum of its proper divisors (585002688).

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

260624640 is a wasteful number, since it uses less digits than its factorization.

260624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 260624640 is about 16143.8731412261. The cubic root of 260624640 is about 638.7611451494.

The spelling of 260624640 in words is "two hundred sixty million, six hundred twenty-four thousand, six hundred forty".