260072736 has 192 divisors, whose sum is σ = 860461056. Its totient is φ = 66816000.

The previous prime is 260072713. The next prime is 260072773. The reversal of 260072736 is 637270062.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 260072697 and 260072706.

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, 1116076 + ... + 1116308.

It is an arithmetic number, because the mean of its divisors is an integer number (4481568).

Almost surely, 2^260072736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260072736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430230528).

260072736 is an abundant number, since it is smaller than the sum of its proper divisors (600388320).

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

260072736 is a wasteful number, since it uses less digits than its factorization.

260072736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 260072736 is about 16126.7707864904. The cubic root of 260072736 is about 638.3099420076.

The spelling of 260072736 in words is "two hundred sixty million, seventy-two thousand, seven hundred thirty-six".