260076672 has 96 divisors (see below), whose sum is σ = 760872060. Its totient is φ = 85248000.

The previous prime is 260076667. The next prime is 260076673. The reversal of 260076672 is 276670062.

It can be written as a sum of positive squares in 2 ways, for example, as 229340736 + 30735936 = 15144^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (260076673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68422 + ... + 72122.

Almost surely, 2^260076672 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 260076672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380436030).

260076672 is an abundant number, since it is smaller than the sum of its proper divisors (500795388).

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

260076672 is a wasteful number, since it uses less digits than its factorization.

260076672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 260076672 is about 16126.8928191391. The cubic root of 260076672 is about 638.3131621007.

The spelling of 260076672 in words is "two hundred sixty million, seventy-six thousand, six hundred seventy-two".