261724848 has 160 divisors (see below), whose sum is σ = 887562240. Its totient is φ = 64385280.

The previous prime is 261724819. The next prime is 261724873. The reversal of 261724848 is 848427162.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68361 + ... + 72087.

It is an arithmetic number, because the mean of its divisors is an integer number (5547264).

Almost surely, 2^261724848 is an apocalyptic number.

261724848 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 261724848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443781120).

261724848 is an abundant number, since it is smaller than the sum of its proper divisors (625837392).

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

261724848 is a wasteful number, since it uses less digits than its factorization.

261724848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775 (or 3769 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 261724848 is about 16177.9123498676. The cubic root of 261724848 is about 639.6587112646.

The spelling of 261724848 in words is "two hundred sixty-one million, seven hundred twenty-four thousand, eight hundred forty-eight".