961446720 has 224 divisors, whose sum is σ = 3369381120. Its totient is φ = 230768640.

The previous prime is 961446691. The next prime is 961446727. The reversal of 961446720 is 27644169.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961446727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510741 + ... + 512619.

It is an arithmetic number, because the mean of its divisors is an integer number (15041880).

Almost surely, 2^961446720 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 961446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684690560).

961446720 is an abundant number, since it is smaller than the sum of its proper divisors (2407934400).

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

961446720 is a wasteful number, since it uses less digits than its factorization.

961446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 961446720 is about 31007.2043241567. The cubic root of 961446720 is about 986.9801252248.

The spelling of 961446720 in words is "nine hundred sixty-one million, four hundred forty-six thousand, seven hundred twenty".