961432680 has 256 divisors, whose sum is σ = 3306240000. Its totient is φ = 221709312.

The previous prime is 961432673. The next prime is 961432697. The reversal of 961432680 is 86234169.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4831221 + ... + 4831419.

It is an arithmetic number, because the mean of its divisors is an integer number (12915000).

Almost surely, 2^961432680 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 961432680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653120000).

961432680 is an abundant number, since it is smaller than the sum of its proper divisors (2344807320).

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

961432680 is a wasteful number, since it uses less digits than its factorization.

961432680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 961432680 is about 31006.9779243318. The cubic root of 961432680 is about 986.9753209134.

The spelling of 961432680 in words is "nine hundred sixty-one million, four hundred thirty-two thousand, six hundred eighty".