199023840 has 144 divisors (see below), whose sum is σ = 695940336. Its totient is φ = 51763200.

The previous prime is 199023827. The next prime is 199023887. The reversal of 199023840 is 48320991.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×199023840² = 79220977776691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 199023795 and 199023804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57355 + ... + 60725.

It is an arithmetic number, because the mean of its divisors is an integer number (4832919).

Almost surely, 2^199023840 is an apocalyptic number.

199023840 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 199023840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347970168).

199023840 is an abundant number, since it is smaller than the sum of its proper divisors (496916496).

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

199023840 is a wasteful number, since it uses less digits than its factorization.

199023840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 199023840 is about 14107.5809407566. The cubic root of 199023840 is about 583.8505591229.

The spelling of 199023840 in words is "one hundred ninety-nine million, twenty-three thousand, eight hundred forty".