1742160 has 160 divisors (see below), whose sum is σ = 6642432. Its totient is φ = 368640.

The previous prime is 1742101. The next prime is 1742161. The reversal of 1742160 is 612471.

1742160 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1742161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28530 + ... + 28590.

2^1742160 is an apocalyptic number.

1742160 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 1742160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321216).

1742160 is an abundant number, since it is smaller than the sum of its proper divisors (4900272).

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

1742160 is a wasteful number, since it uses less digits than its factorization.

1742160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1742160 is about 1319.9090877784. The cubic root of 1742160 is about 120.3268865126.

The spelling of 1742160 in words is "one million, seven hundred forty-two thousand, one hundred sixty".