961900544 has 104 divisors (see below), whose sum is σ = 2158885488. Its totient is φ = 424673280.

The previous prime is 961900493. The next prime is 961900561. The reversal of 961900544 is 445009169.

961900544 is nontrivially palindromic in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 961900498 and 961900507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1666784 + ... + 1667360.

Almost surely, 2^961900544 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 961900544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079442744).

961900544 is an abundant number, since it is smaller than the sum of its proper divisors (1196984944).

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

961900544 is a wasteful number, since it uses less digits than its factorization.

961900544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 961900544 is about 31014.5215020319. The cubic root of 961900544 is about 987.1353929071.

The spelling of 961900544 in words is "nine hundred sixty-one million, nine hundred thousand, five hundred forty-four".