261235040 has 48 divisors (see below), whose sum is σ = 673278480. Its totient is φ = 94993920.

The previous prime is 261235033. The next prime is 261235069. The reversal of 261235040 is 40532162.

It is a super-2 number, since 2×261235040² = 136487492247603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 261234997 and 261235015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72455 + ... + 75974.

It is an arithmetic number, because the mean of its divisors is an integer number (14026635).

Almost surely, 2^261235040 is an apocalyptic number.

261235040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261235040 is an abundant number, since it is smaller than the sum of its proper divisors (412043440).

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

261235040 is a wasteful number, since it uses less digits than its factorization.

261235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148455 (or 148447 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 261235040 is about 16162.7670898272. The cubic root of 261235040 is about 639.2594298449.

The spelling of 261235040 in words is "two hundred sixty-one million, two hundred thirty-five thousand, forty".