261157248 has 192 divisors, whose sum is σ = 843495120. Its totient is φ = 76861440.

The previous prime is 261157243. The next prime is 261157289. The reversal of 261157248 is 842751162.

261157248 is a `hidden beast` number, since 261 + 157 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261157243) 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, 468586 + ... + 469142.

Almost surely, 2^261157248 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 261157248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421747560).

261157248 is an abundant number, since it is smaller than the sum of its proper divisors (582337872).

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

261157248 is a wasteful number, since it uses less digits than its factorization.

261157248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 610 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 261157248 is about 16160.3603920210. The cubic root of 261157248 is about 639.1959694880.

The spelling of 261157248 in words is "two hundred sixty-one million, one hundred fifty-seven thousand, two hundred forty-eight".