261554832 has 200 divisors, whose sum is σ = 944171712. Its totient is φ = 67910400.

The previous prime is 261554831. The next prime is 261554833. The reversal of 261554832 is 238455162.

261554832 is a `hidden beast` number, since 2 + 615 + 5 + 4 + 8 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (261554831) and next prime (261554833).

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 (261554831) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98482 + ... + 101102.

Almost surely, 2^261554832 is an apocalyptic number.

261554832 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 261554832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472085856).

261554832 is an abundant number, since it is smaller than the sum of its proper divisors (682616880).

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

261554832 is a wasteful number, since it uses less digits than its factorization.

261554832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2644 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 261554832 is about 16172.6569245749. The cubic root of 261554832 is about 639.5201742053.

The spelling of 261554832 in words is "two hundred sixty-one million, five hundred fifty-four thousand, eight hundred thirty-two".