961754112 has 264 divisors, whose sum is σ = 3103907040. Its totient is φ = 284344320.

The previous prime is 961754089. The next prime is 961754119. The reversal of 961754112 is 211457169.

961754112 is a `hidden beast` number, since 96 + 17 + 541 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961754119) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5372839 + ... + 5373017.

Almost surely, 2^961754112 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 961754112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551953520).

961754112 is an abundant number, since it is smaller than the sum of its proper divisors (2142152928).

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

961754112 is a wasteful number, since it uses less digits than its factorization.

961754112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 248 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 961754112 is about 31012.1607115660. The cubic root of 961754112 is about 987.0852991816.

The spelling of 961754112 in words is "nine hundred sixty-one million, seven hundred fifty-four thousand, one hundred twelve".