961765200 has 360 divisors, whose sum is σ = 3687933600. Its totient is φ = 230169600.

The previous prime is 961765169. The next prime is 961765243. The reversal of 961765200 is 2567169.

961765200 is a `hidden beast` number, since 9 + 61 + 76 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 5900319 + ... + 5900481.

It is an arithmetic number, because the mean of its divisors is an integer number (10244260).

Almost surely, 2^961765200 is an apocalyptic number.

961765200 is a gapful number since it is divisible by the number (90) 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 961765200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843966800).

961765200 is an abundant number, since it is smaller than the sum of its proper divisors (2726168400).

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

961765200 is a wasteful number, since it uses less digits than its factorization.

961765200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 961765200 is about 31012.3394796329. The cubic root of 961765200 is about 987.0890925142.

The spelling of 961765200 in words is "nine hundred sixty-one million, seven hundred sixty-five thousand, two hundred".