261582048 has 240 divisors, whose sum is σ = 947691360. Its totient is φ = 68926464.

The previous prime is 261582047. The next prime is 261582049. The reversal of 261582048 is 840285162.

It is an interprime number because it is at equal distance from previous prime (261582047) and next prime (261582049).

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 (261582047) 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, 235318 + ... + 236426.

It is an arithmetic number, because the mean of its divisors is an integer number (3948714).

Almost surely, 2^261582048 is an apocalyptic number.

261582048 is a gapful number since it is divisible by the number (28) 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 261582048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473845680).

261582048 is an abundant number, since it is smaller than the sum of its proper divisors (686109312).

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

261582048 is a wasteful number, since it uses less digits than its factorization.

261582048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 261582048 is about 16173.4983228737. The cubic root of 261582048 is about 639.5423551215.

The spelling of 261582048 in words is "two hundred sixty-one million, five hundred eighty-two thousand, forty-eight".