9691920 has 160 divisors (see below), whose sum is σ = 38211840. Its totient is φ = 2211840.

The previous prime is 9691909. The next prime is 9691931. The reversal of 9691920 is 291969.

It is an interprime number because it is at equal distance from previous prime (9691909) and next prime (9691931).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14800 + ... + 15440.

It is an arithmetic number, because the mean of its divisors is an integer number (238824).

Almost surely, 2^9691920 is an apocalyptic number.

9691920 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 9691920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19105920).

9691920 is an abundant number, since it is smaller than the sum of its proper divisors (28519920).

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

9691920 is a wasteful number, since it uses less digits than its factorization.

9691920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 658 counting only the distinct ones).

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

The square root of 9691920 is about 3113.1848644114. The cubic root of 9691920 is about 213.2078906623.

The spelling of 9691920 in words is "nine million, six hundred ninety-one thousand, nine hundred twenty".