261565920 has 432 divisors, whose sum is σ = 1136077488. Its totient is φ = 54190080.

The previous prime is 261565907. The next prime is 261565933. The reversal of 261565920 is 29565162.

261565920 is a `hidden beast` number, since 2 + 6 + 1 + 565 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (261565907) and next prime (261565933).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 775992 + ... + 776328.

It is an arithmetic number, because the mean of its divisors is an integer number (2629809).

Almost surely, 2^261565920 is an apocalyptic number.

261565920 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 261565920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568038744).

261565920 is an abundant number, since it is smaller than the sum of its proper divisors (874511568).

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

261565920 is a wasteful number, since it uses less digits than its factorization.

261565920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 261565920 is about 16172.9997217585. Note that the first 3 decimals coincide. The cubic root of 261565920 is about 639.5292110606.

The spelling of 261565920 in words is "two hundred sixty-one million, five hundred sixty-five thousand, nine hundred twenty".