261879072 has 192 divisors, whose sum is σ = 874266624. Its totient is φ = 66769920.

The previous prime is 261879053. The next prime is 261879083. The reversal of 261879072 is 270978162.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 270333 + ... + 271299.

It is an arithmetic number, because the mean of its divisors is an integer number (4553472).

Almost surely, 2^261879072 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 261879072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437133312).

261879072 is an abundant number, since it is smaller than the sum of its proper divisors (612387552).

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

261879072 is a wasteful number, since it uses less digits than its factorization.

261879072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 261879072 is about 16182.6781467098. The cubic root of 261879072 is about 639.7843283713.

The spelling of 261879072 in words is "two hundred sixty-one million, eight hundred seventy-nine thousand, seventy-two".