961015440 has 960 divisors, whose sum is σ = 4396861440. Its totient is φ = 170311680.

The previous prime is 961015409. The next prime is 961015453. The reversal of 961015440 is 44510169.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 961015398 and 961015407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41783269 + ... + 41783291.

It is an arithmetic number, because the mean of its divisors is an integer number (4580064).

Almost surely, 2^961015440 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 961015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198430720).

961015440 is an abundant number, since it is smaller than the sum of its proper divisors (3435846000).

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

961015440 is a wasteful number, since it uses less digits than its factorization.

961015440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 961015440 is about 31000.2490312578. The cubic root of 961015440 is about 986.8325252789.

The spelling of 961015440 in words is "nine hundred sixty-one million, fifteen thousand, four hundred forty".