961873920 has 576 divisors, whose sum is σ = 4033411200. Its totient is φ = 216760320.

The previous prime is 961873877. The next prime is 961873931. The reversal of 961873920 is 29378169.

961873920 is a `hidden beast` number, since 9 + 618 + 7 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 13547485 + ... + 13547555.

It is an arithmetic number, because the mean of its divisors is an integer number (7002450).

Almost surely, 2^961873920 is an apocalyptic number.

961873920 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 961873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016705600).

961873920 is an abundant number, since it is smaller than the sum of its proper divisors (3071537280).

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

961873920 is a wasteful number, since it uses less digits than its factorization.

961873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 961873920 is about 31014.0922807681. The cubic root of 961873920 is about 987.1262853352.

It can be divided in two parts, 9618 and 73920, that added together give a palindrome (83538).

The spelling of 961873920 in words is "nine hundred sixty-one million, eight hundred seventy-three thousand, nine hundred twenty".