961787160 has 48 divisors (see below), whose sum is σ = 3125809440. Its totient is φ = 256476480.

The previous prime is 961787153. The next prime is 961787171. The reversal of 961787160 is 61787169.

961787160 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 2×961787160² = 1850069082281731200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1335456 + ... + 1336175.

It is an arithmetic number, because the mean of its divisors is an integer number (65121030).

Almost surely, 2^961787160 is an apocalyptic number.

961787160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

961787160 is an abundant number, since it is smaller than the sum of its proper divisors (2164022280).

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

961787160 is a wasteful number, since it uses less digits than its factorization.

961787160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671648 (or 2671641 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 961787160 is about 31012.6935302305. The cubic root of 961787160 is about 987.0966051973.

The spelling of 961787160 in words is "nine hundred sixty-one million, seven hundred eighty-seven thousand, one hundred sixty".