159791940 has 432 divisors, whose sum is σ = 648333504. Its totient is φ = 32659200.

The previous prime is 159791927. The next prime is 159791941. The reversal of 159791940 is 49197951.

159791940 is a `hidden beast` number, since 1 + 597 + 9 + 19 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (159791941) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2619510 + ... + 2619570.

It is an arithmetic number, because the mean of its divisors is an integer number (1500772).

Almost surely, 2^159791940 is an apocalyptic number.

159791940 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 159791940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324166752).

159791940 is an abundant number, since it is smaller than the sum of its proper divisors (488541564).

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

159791940 is a wasteful number, since it uses less digits than its factorization.

159791940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 159791940 is about 12640.8836716426. The cubic root of 159791940 is about 542.6481038577.

The spelling of 159791940 in words is "one hundred fifty-nine million, seven hundred ninety-one thousand, nine hundred forty".