961773540 has 384 divisors, whose sum is σ = 3564503040. Its totient is φ = 188116992.

The previous prime is 961773529. The next prime is 961773551. The reversal of 961773540 is 45377169.

961773540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (961773529) and next prime (961773551).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 961773492 and 961773501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7572957 + ... + 7573083.

It is an arithmetic number, because the mean of its divisors is an integer number (9282560).

Almost surely, 2^961773540 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 961773540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782251520).

961773540 is an abundant number, since it is smaller than the sum of its proper divisors (2602729500).

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

961773540 is a wasteful number, since it uses less digits than its factorization.

961773540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 961773540 is about 31012.4739419479. The cubic root of 961773540 is about 987.0919457051.

The spelling of 961773540 in words is "nine hundred sixty-one million, seven hundred seventy-three thousand, five hundred forty".