961525440 has 336 divisors, whose sum is σ = 3594689280. Its totient is φ = 234946560.

The previous prime is 961525403. The next prime is 961525469. The reversal of 961525440 is 44525169.

961525440 is a `hidden beast` number, since 9 + 61 + 52 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 961525395 and 961525404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2007121 + ... + 2007599.

It is an arithmetic number, because the mean of its divisors is an integer number (10698480).

Almost surely, 2^961525440 is an apocalyptic number.

961525440 is a gapful number since it is divisible by the number (90) 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 961525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797344640).

961525440 is an abundant number, since it is smaller than the sum of its proper divisors (2633163840).

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

961525440 is a wasteful number, since it uses less digits than its factorization.

961525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 961525440 is about 31008.4736805925. The cubic root of 961525440 is about 987.0070613526.

The spelling of 961525440 in words is "nine hundred sixty-one million, five hundred twenty-five thousand, four hundred forty".