10039920 has 80 divisors (see below), whose sum is σ = 33962112. Its totient is φ = 2433280.

The previous prime is 10039919. The next prime is 10039927. The reversal of 10039920 is 2993001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10039927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739 + ... + 4541.

Almost surely, 2^10039920 is an apocalyptic number.

10039920 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 10039920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16981056).

10039920 is an abundant number, since it is smaller than the sum of its proper divisors (23922192).

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

10039920 is a wasteful number, since it uses less digits than its factorization.

10039920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 10039920 is about 3168.5832796378. The cubic root of 10039920 is about 215.7297718096.

The spelling of 10039920 in words is "ten million, thirty-nine thousand, nine hundred twenty".