160561440 has 240 divisors, whose sum is σ = 610876728. Its totient is φ = 39481344.

The previous prime is 160561409. The next prime is 160561477. The reversal of 160561440 is 44165061.

160561440 is a `hidden beast` number, since 1 + 6 + 0 + 5 + 614 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93779856 + 66781584 = 9684^2 + 8172^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168004 + ... + 168956.

Almost surely, 2^160561440 is an apocalyptic number.

160561440 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 160561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305438364).

160561440 is an abundant number, since it is smaller than the sum of its proper divisors (450315288).

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

160561440 is a wasteful number, since it uses less digits than its factorization.

160561440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 160561440 is about 12671.2840706852. The cubic root of 160561440 is about 543.5177747948.

The spelling of 160561440 in words is "one hundred sixty million, five hundred sixty-one thousand, four hundred forty".