961415280 has 480 divisors, whose sum is σ = 4004208000. Its totient is φ = 205922304.

The previous prime is 961415269. The next prime is 961415281. The reversal of 961415280 is 82514169.

961415280 is a `hidden beast` number, since 9 + 614 + 15 + 28 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961415281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4198206 + ... + 4198434.

It is an arithmetic number, because the mean of its divisors is an integer number (8342100).

Almost surely, 2^961415280 is an apocalyptic number.

961415280 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 961415280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002104000).

961415280 is an abundant number, since it is smaller than the sum of its proper divisors (3042792720).

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

961415280 is a wasteful number, since it uses less digits than its factorization.

961415280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 961415280 is about 31006.6973410584. The cubic root of 961415280 is about 986.9693667873.

The spelling of 961415280 in words is "nine hundred sixty-one million, four hundred fifteen thousand, two hundred eighty".