9961920 has 112 divisors (see below), whose sum is σ = 35173920. Its totient is φ = 2654208.

The previous prime is 9961907. The next prime is 9961927. The reversal of 9961920 is 291699.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (9961927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8064 + ... + 9216.

Almost surely, 2^9961920 is an apocalyptic number.

9961920 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 9961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17586960).

9961920 is an abundant number, since it is smaller than the sum of its proper divisors (25212000).

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

9961920 is a wasteful number, since it uses less digits than its factorization.

9961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 9961920 is about 3156.2509405939. The cubic root of 9961920 is about 215.1696515663.

It can be divided in two parts, 996 and 1920, that added together give a square (2916 = 54²).

The spelling of 9961920 in words is "nine million, nine hundred sixty-one thousand, nine hundred twenty".