10187920 has 40 divisors (see below), whose sum is σ = 23819904. Its totient is φ = 4052352.

The previous prime is 10187911. The next prime is 10187921. The reversal of 10187920 is 2978101.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (10187921) 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, 27577 + ... + 27943.

Almost surely, 2^10187920 is an apocalyptic number.

10187920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10187920 is an abundant number, since it is smaller than the sum of its proper divisors (13631984).

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

10187920 is a wasteful number, since it uses less digits than its factorization.

10187920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 10187920 is about 3191.8521269006. The cubic root of 10187920 is about 216.7846405516.

The spelling of 10187920 in words is "ten million, one hundred eighty-seven thousand, nine hundred twenty".