9956920 has 32 divisors (see below), whose sum is σ = 22521600. Its totient is φ = 3961728.

The previous prime is 9956911. The next prime is 9956939. The reversal of 9956920 is 296599.

It is a Smith number, since the sum of its digits (40) 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 (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8617 + ... + 9703.

It is an arithmetic number, because the mean of its divisors is an integer number (703800).

Almost surely, 2^9956920 is an apocalyptic number.

It is an amenable number.

9956920 is an abundant number, since it is smaller than the sum of its proper divisors (12564680).

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

9956920 is a wasteful number, since it uses less digits than its factorization.

9956920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 40.

The square root of 9956920 is about 3155.4587622088. The cubic root of 9956920 is about 215.1336468502.

The spelling of 9956920 in words is "nine million, nine hundred fifty-six thousand, nine hundred twenty".