9910920 has 32 divisors (see below), whose sum is σ = 29733120. Its totient is φ = 2642880.

The previous prime is 9910919. The next prime is 9910921. The reversal of 9910920 is 290199.

It is an interprime number because it is at equal distance from previous prime (9910919) and next prime (9910921).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (9910921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41176 + ... + 41415.

It is an arithmetic number, because the mean of its divisors is an integer number (929160).

Almost surely, 2^9910920 is an apocalyptic number.

It is an amenable number.

9910920 is an abundant number, since it is smaller than the sum of its proper divisors (19822200).

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

9910920 is a wasteful number, since it uses less digits than its factorization.

9910920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82605 (or 82601 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 9910920 is about 3148.1613681640. The cubic root of 9910920 is about 214.8018365201.

Adding to 9910920 its product of nonzero digits (1458), we get a triangular number (9912378 = T₄₄₅₂).

The spelling of 9910920 in words is "nine million, nine hundred ten thousand, nine hundred twenty".