4099920 has 80 divisors (see below), whose sum is σ = 13874112. Its totient is φ = 993280.

The previous prime is 4099903. The next prime is 4099943. The reversal of 4099920 is 299904.

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 (33).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1864 + ... + 3416.

Almost surely, 2^4099920 is an apocalyptic number.

4099920 is a gapful number since it is divisible by the number (40) 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 4099920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937056).

4099920 is an abundant number, since it is smaller than the sum of its proper divisors (9774192).

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

4099920 is a wasteful number, since it uses less digits than its factorization.

4099920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 4099920 is about 2024.8259184434. The cubic root of 4099920 is about 160.0510253925.

The spelling of 4099920 in words is "four million, ninety-nine thousand, nine hundred twenty".