1653160 has 32 divisors (see below), whose sum is σ = 3823560. Its totient is φ = 642816.

The previous prime is 1653149. The next prime is 1653167. The reversal of 1653160 is 613561.

It can be written as a sum of positive squares in 4 ways, for example, as 1240996 + 412164 = 1114^2 + 642^2 .

It is not an unprimeable number, because it can be changed into a prime (1653167) 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, 922 + ... + 2038.

2^1653160 is an apocalyptic number.

1653160 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 1653160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911780).

1653160 is an abundant number, since it is smaller than the sum of its proper divisors (2170400).

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

1653160 is a wasteful number, since it uses less digits than its factorization.

1653160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 1653160 is about 1285.7526978389. The cubic root of 1653160 is about 118.2419625728.

The spelling of 1653160 in words is "one million, six hundred fifty-three thousand, one hundred sixty".