9961560 has 192 divisors, whose sum is σ = 38188800. Its totient is φ = 2204928.

The previous prime is 9961543. The next prime is 9961573. The reversal of 9961560 is 651699.

9961560 is a `hidden beast` number, since 9 + 96 + 1 + 560 = 666.

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

It is a congruent number.

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, 148647 + ... + 148713.

It is an arithmetic number, because the mean of its divisors is an integer number (198900).

Almost surely, 2^9961560 is an apocalyptic number.

9961560 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 9961560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).

9961560 is an abundant number, since it is smaller than the sum of its proper divisors (28227240).

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

9961560 is a wasteful number, since it uses less digits than its factorization.

9961560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9961560 is about 3156.1939103927. The cubic root of 9961560 is about 215.1670596292.

It can be divided in two parts, 996 and 1560, that added together give a triangular number (2556 = T₇₁).

The spelling of 9961560 in words is "nine million, nine hundred sixty-one thousand, five hundred sixty".