10345920 has 112 divisors (see below), whose sum is σ = 35417760. Its totient is φ = 2543616.

The previous prime is 10345891. The next prime is 10345931. The reversal of 10345920 is 2954301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12066 + ... + 12894.

It is an arithmetic number, because the mean of its divisors is an integer number (316230).

Almost surely, 2^10345920 is an apocalyptic number.

10345920 is a gapful number since it is divisible by the number (10) 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 10345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17708880).

10345920 is an abundant number, since it is smaller than the sum of its proper divisors (25071840).

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

10345920 is a wasteful number, since it uses less digits than its factorization.

10345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 10345920 is about 3216.5074226558. The cubic root of 10345920 is about 217.8995693724.

The spelling of 10345920 in words is "ten million, three hundred forty-five thousand, nine hundred twenty".