261877968 has 80 divisors (see below), whose sum is σ = 820036800. Its totient is φ = 79355520.

The previous prime is 261877963. The next prime is 261877991. The reversal of 261877968 is 869778162.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261877963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22803 + ... + 32306.

It is an arithmetic number, because the mean of its divisors is an integer number (10250460).

Almost surely, 2^261877968 is an apocalyptic number.

It is an amenable number.

261877968 is an abundant number, since it is smaller than the sum of its proper divisors (558158832).

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

261877968 is a wasteful number, since it uses less digits than its factorization.

261877968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55137 (or 55125 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 261877968 is about 16182.6440361271. The cubic root of 261877968 is about 639.7834293267.

The spelling of 261877968 in words is "two hundred sixty-one million, eight hundred seventy-seven thousand, nine hundred sixty-eight".