261092832 has 432 divisors, whose sum is σ = 981348480. Its totient is φ = 59304960.

The previous prime is 261092827. The next prime is 261092837. The reversal of 261092832 is 238290162.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (261092827) and next prime (261092837).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 261092793 and 261092802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261092837) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13741719 + ... + 13741737.

It is an arithmetic number, because the mean of its divisors is an integer number (2271640).

Almost surely, 2^261092832 is an apocalyptic number.

261092832 is a gapful number since it is divisible by the number (22) 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 261092832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490674240).

261092832 is an abundant number, since it is smaller than the sum of its proper divisors (720255648).

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

261092832 is a wasteful number, since it uses less digits than its factorization.

261092832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 261092832 is about 16158.3672442484. The cubic root of 261092832 is about 639.1434113279.

The spelling of 261092832 in words is "two hundred sixty-one million, ninety-two thousand, eight hundred thirty-two".