961446640 has 180 divisors, whose sum is σ = 2859613848. Its totient is φ = 299523840.

The previous prime is 961446631. The next prime is 961446643. The reversal of 961446640 is 46644169.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 961446593 and 961446602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961446643) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 473307 + ... + 475333.

Almost surely, 2^961446640 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 961446640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429806924).

961446640 is an abundant number, since it is smaller than the sum of its proper divisors (1898167208).

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

961446640 is a wasteful number, since it uses less digits than its factorization.

961446640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 961446640 is about 31007.2030341339. The cubic root of 961446640 is about 986.9800978500.

The spelling of 961446640 in words is "nine hundred sixty-one million, four hundred forty-six thousand, six hundred forty".