961975872 has 448 divisors, whose sum is σ = 3533241600. Its totient is φ = 252149760.

The previous prime is 961975843. The next prime is 961975873. The reversal of 961975872 is 278579169.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961975873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4200654 + ... + 4200882.

It is an arithmetic number, because the mean of its divisors is an integer number (7886700).

Almost surely, 2^961975872 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 961975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766620800).

961975872 is an abundant number, since it is smaller than the sum of its proper divisors (2571265728).

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

961975872 is a wasteful number, since it uses less digits than its factorization.

961975872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The square root of 961975872 is about 31015.7358771318. The cubic root of 961975872 is about 987.1611602952.

It can be divided in two parts, 9619 and 75872, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 961975872 in words is "nine hundred sixty-one million, nine hundred seventy-five thousand, eight hundred seventy-two".