160001440 has 48 divisors (see below), whose sum is σ = 379404648. Its totient is φ = 63763456.

The previous prime is 160001437. The next prime is 160001449. The reversal of 160001440 is 44100061.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 158860816 + 1140624 = 12604^2 + 1068^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

160001440 is a modest number, since divided by 1440 gives 160 as remainder.

It is not an unprimeable number, because it can be changed into a prime (160001449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45174 + ... + 48586.

Almost surely, 2^160001440 is an apocalyptic number.

160001440 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 160001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189702324).

160001440 is an abundant number, since it is smaller than the sum of its proper divisors (219403208).

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

160001440 is a wasteful number, since it uses less digits than its factorization.

160001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3721 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 160001440 is about 12649.1675615433. The cubic root of 160001440 is about 542.8851519647.

It can be divided in two parts, 16000 and 1440, that multiplied together give a square (23040000 = 4800²).

The spelling of 160001440 in words is "one hundred sixty million, one thousand, four hundred forty".