261913392 has 160 divisors (see below), whose sum is σ = 817656000. Its totient is φ = 79792128.

The previous prime is 261913319. The next prime is 261913403. The reversal of 261913392 is 293319162.

It is a happy number.

261913392 is a `hidden beast` number, since 2 + 619 + 1 + 3 + 39 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 836628 + ... + 836940.

It is an arithmetic number, because the mean of its divisors is an integer number (5110350).

Almost surely, 2^261913392 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 261913392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408828000).

261913392 is an abundant number, since it is smaller than the sum of its proper divisors (555742608).

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

261913392 is a wasteful number, since it uses less digits than its factorization.

261913392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 261913392 is about 16183.7385050550. The cubic root of 261913392 is about 639.8122756714.

The spelling of 261913392 in words is "two hundred sixty-one million, nine hundred thirteen thousand, three hundred ninety-two".