261627048 has 96 divisors (see below), whose sum is σ = 731203200. Its totient is φ = 84470400.

The previous prime is 261627019. The next prime is 261627053. The reversal of 261627048 is 840726162.

261627048 is a `hidden beast` number, since 26 + 1 + 627 + 0 + 4 + 8 = 666.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 311413 + ... + 312251.

It is an arithmetic number, because the mean of its divisors is an integer number (7616700).

Almost surely, 2^261627048 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 261627048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365601600).

261627048 is an abundant number, since it is smaller than the sum of its proper divisors (469576152).

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

261627048 is a wasteful number, since it uses less digits than its factorization.

261627048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 261627048 is about 16174.8894277519. The cubic root of 261627048 is about 639.5790265420.

The spelling of 261627048 in words is "two hundred sixty-one million, six hundred twenty-seven thousand, forty-eight".