160388640 has 192 divisors, whose sum is σ = 567544320. Its totient is φ = 42301440.

The previous prime is 160388639. The next prime is 160388689. The reversal of 160388640 is 46883061.

It is a happy number.

160388640 is a `hidden beast` number, since 1 + 6 + 0 + 3 + 8 + 8 + 640 = 666.

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 = 160388595 and 160388604.

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, 591705 + ... + 591975.

It is an arithmetic number, because the mean of its divisors is an integer number (2955960).

Almost surely, 2^160388640 is an apocalyptic number.

160388640 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 160388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283772160).

160388640 is an abundant number, since it is smaller than the sum of its proper divisors (407155680).

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

160388640 is a wasteful number, since it uses less digits than its factorization.

160388640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 160388640 is about 12664.4636680753. The cubic root of 160388640 is about 543.3227225984.

It can be divided in two parts, 160388 and 640, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 160388640 in words is "one hundred sixty million, three hundred eighty-eight thousand, six hundred forty".