261334920 has 128 divisors (see below), whose sum is σ = 977495040. Its totient is φ = 54301440.

The previous prime is 261334889. The next prime is 261334961. The reversal of 261334920 is 29433162.

It is a super-2 number, since 2×261334920² = 136591880822812800, which contains 22 as substring.

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

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, 4902 + ... + 23381.

It is an arithmetic number, because the mean of its divisors is an integer number (7636680).

Almost surely, 2^261334920 is an apocalyptic number.

261334920 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 261334920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488747520).

261334920 is an abundant number, since it is smaller than the sum of its proper divisors (716160120).

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

261334920 is a wasteful number, since it uses less digits than its factorization.

261334920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28315 (or 28311 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 261334920 is about 16165.8566120079. The cubic root of 261334920 is about 639.3408904538.

The spelling of 261334920 in words is "two hundred sixty-one million, three hundred thirty-four thousand, nine hundred twenty".