961082496 has 288 divisors, whose sum is σ = 3188923920. Its totient is φ = 285742080.

The previous prime is 961082477. The next prime is 961082497. The reversal of 961082496 is 694280169.

It is a happy number.

961082496 is a `hidden beast` number, since 9 + 610 + 8 + 24 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (961082497) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18133606 + ... + 18133658.

Almost surely, 2^961082496 is an apocalyptic number.

961082496 is a gapful number since it is divisible by the number (96) 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 961082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594461960).

961082496 is an abundant number, since it is smaller than the sum of its proper divisors (2227841424).

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

961082496 is an equidigital number, since it uses as much as digits as its factorization.

961082496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 69 counting only the distinct ones).

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

The square root of 961082496 is about 31001.3305520908. The cubic root of 961082496 is about 986.8554772177.

The spelling of 961082496 in words is "nine hundred sixty-one million, eighty-two thousand, four hundred ninety-six".