261129024 has 168 divisors, whose sum is σ = 825816992. Its totient is φ = 78382080.

The previous prime is 261129023. The next prime is 261129031. The reversal of 261129024 is 420921162.

261129024 is a `hidden beast` number, since 2 + 611 + 29 + 0 + 24 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261129023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321579 + ... + 322389.

Almost surely, 2^261129024 is an apocalyptic number.

261129024 is a gapful number since it is divisible by the number (24) 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 261129024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412908496).

261129024 is an abundant number, since it is smaller than the sum of its proper divisors (564687968).

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

261129024 is a wasteful number, since it uses less digits than its factorization.

261129024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 261129024 is about 16159.4871205741. The cubic root of 261129024 is about 639.1729420883.

The spelling of 261129024 in words is "two hundred sixty-one million, one hundred twenty-nine thousand, twenty-four".