961456896 has 108 divisors (see below), whose sum is σ = 2935302552. Its totient is φ = 301621248.

The previous prime is 961456891. The next prime is 961456897. The reversal of 961456896 is 698654169.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (961456891) 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 11 ways as a sum of consecutive naturals, for example, 26895 + ... + 51441.

Almost surely, 2^961456896 is an apocalyptic number.

961456896 is a gapful number since it is divisible by the number (96) 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 961456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467651276).

961456896 is an abundant number, since it is smaller than the sum of its proper divisors (1973845656).

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

961456896 is a wasteful number, since it uses less digits than its factorization.

961456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24586 (or 24569 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 961456896 is about 31007.3684146204. The cubic root of 961456896 is about 986.9836072948.

It can be divided in two parts, 96145 and 6896, that added together give a square (103041 = 321²).

The spelling of 961456896 in words is "nine hundred sixty-one million, four hundred fifty-six thousand, eight hundred ninety-six".