261927432 has 320 divisors, whose sum is σ = 878169600. Its totient is φ = 72161280.

The previous prime is 261927409. The next prime is 261927433. The reversal of 261927432 is 234729162.

261927432 is a `hidden beast` number, since 2 + 619 + 2 + 7 + 4 + 32 = 666.

It is a super-2 number, since 2×261927432² = 137211959268229248, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (261927433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4439419 + ... + 4439477.

It is an arithmetic number, because the mean of its divisors is an integer number (2744280).

Almost surely, 2^261927432 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 261927432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439084800).

261927432 is an abundant number, since it is smaller than the sum of its proper divisors (616242168).

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

261927432 is a wasteful number, since it uses less digits than its factorization.

261927432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 261927432 is about 16184.1722679907. The cubic root of 261927432 is about 639.8237079541.

The spelling of 261927432 in words is "two hundred sixty-one million, nine hundred twenty-seven thousand, four hundred thirty-two".