261847824 has 160 divisors (see below), whose sum is σ = 833470464. Its totient is φ = 69189120.

The previous prime is 261847799. The next prime is 261847829. The reversal of 261847824 is 428748162.

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 not an unprimeable number, because it can be changed into a prime (261847829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239022 + ... + 240114.

Almost surely, 2^261847824 is an apocalyptic number.

261847824 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 261847824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416735232).

261847824 is an abundant number, since it is smaller than the sum of its proper divisors (571622640).

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

261847824 is a wasteful number, since it uses less digits than its factorization.

261847824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1159 counting only the distinct ones).

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

The square root of 261847824 is about 16181.7126411267. The cubic root of 261847824 is about 639.7588805240.

The spelling of 261847824 in words is "two hundred sixty-one million, eight hundred forty-seven thousand, eight hundred twenty-four".