199743840 has 96 divisors (see below), whose sum is σ = 699118560. Its totient is φ = 53263872.

The previous prime is 199743833. The next prime is 199743853. The reversal of 199743840 is 48347991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 18799 + ... + 27438.

It is an arithmetic number, because the mean of its divisors is an integer number (7282485).

Almost surely, 2^199743840 is an apocalyptic number.

199743840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199743840 is an abundant number, since it is smaller than the sum of its proper divisors (499374720).

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

199743840 is a wasteful number, since it uses less digits than its factorization.

199743840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46261 (or 46247 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 199743840 is about 14133.0760982880. The cubic root of 199743840 is about 584.5537688454.

The spelling of 199743840 in words is "one hundred ninety-nine million, seven hundred forty-three thousand, eight hundred forty".