961545312 has 288 divisors, whose sum is σ = 3544369920. Its totient is φ = 240122880.

The previous prime is 961545301. The next prime is 961545359. The reversal of 961545312 is 213545169.

961545312 is a `hidden beast` number, since 9 + 615 + 4 + 5 + 31 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496987 + ... + 498917.

It is an arithmetic number, because the mean of its divisors is an integer number (12306840).

Almost surely, 2^961545312 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 961545312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772184960).

961545312 is an abundant number, since it is smaller than the sum of its proper divisors (2582824608).

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

961545312 is a wasteful number, since it uses less digits than its factorization.

961545312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1975 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 961545312 is about 31008.7941074786. The cubic root of 961545312 is about 987.0138608500.

The spelling of 961545312 in words is "nine hundred sixty-one million, five hundred forty-five thousand, three hundred twelve".