261480996 has 72 divisors (see below), whose sum is σ = 757877120. Its totient is φ = 74462976.

The previous prime is 261480991. The next prime is 261481009. The reversal of 261480996 is 699084162.

It is a happy number.

261480996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×261480996² = 136744622538304032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (261480991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83385 + ... + 86463.

Almost surely, 2^261480996 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 261480996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378938560).

261480996 is an abundant number, since it is smaller than the sum of its proper divisors (496396124).

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

261480996 is a wasteful number, since it uses less digits than its factorization.

261480996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 261480996 is about 16170.3740216484. The cubic root of 261480996 is about 639.4599904506.

The spelling of 261480996 in words is "two hundred sixty-one million, four hundred eighty thousand, nine hundred ninety-six".