160993440 has 192 divisors, whose sum is σ = 571536000. Its totient is φ = 42319872.

The previous prime is 160993439. The next prime is 160993453. The reversal of 160993440 is 44399061.

160993440 is a `hidden beast` number, since 1 + 609 + 9 + 3 + 4 + 40 = 666.

160993440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 160993395 and 160993404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358336 + ... + 358784.

It is an arithmetic number, because the mean of its divisors is an integer number (2976750).

Almost surely, 2^160993440 is an apocalyptic number.

160993440 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 160993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285768000).

160993440 is an abundant number, since it is smaller than the sum of its proper divisors (410542560).

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

160993440 is a wasteful number, since it uses less digits than its factorization.

160993440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 160993440 is about 12688.3190376031. The cubic root of 160993440 is about 544.0047937871.

The spelling of 160993440 in words is "one hundred sixty million, nine hundred ninety-three thousand, four hundred forty".