1601440 has 24 divisors (see below), whose sum is σ = 3783780. Its totient is φ = 640512.

The previous prime is 1601423. The next prime is 1601441. The reversal of 1601440 is 441061.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1468944 + 132496 = 1212^2 + 364^2 .

It is a super-2 number, since 2×1601440² = 5129220147200, which contains 22 as substring.

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

1601440 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 (1601441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4845 + ... + 5164.

2^1601440 is an apocalyptic number.

1601440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1601440 is an abundant number, since it is smaller than the sum of its proper divisors (2182340).

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

1601440 is a wasteful number, since it uses less digits than its factorization.

1601440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10024 (or 10016 counting only the distinct ones).

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

The square root of 1601440 is about 1265.4801460315. The cubic root of 1601440 is about 116.9957872202.

It can be divided in two parts, 160 and 1440, that multiplied together give a square (230400 = 480²).

The spelling of 1601440 in words is "one million, six hundred one thousand, four hundred forty".