1742016 has 56 divisors (see below), whose sum is σ = 4738624. Its totient is φ = 564480.

The previous prime is 1741979. The next prime is 1742017. The reversal of 1742016 is 6102471.

It is a junction number, because it is equal to n+sod(n) for n = 1741983 and 1742001.

It is not an unprimeable number, because it can be changed into a prime (1742017) 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, 8151 + ... + 8361.

2^1742016 is an apocalyptic number.

1742016 is a gapful number since it is divisible by the number (16) 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 1742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369312).

1742016 is an abundant number, since it is smaller than the sum of its proper divisors (2996608).

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

1742016 is a wasteful number, since it uses less digits than its factorization.

1742016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

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

The square root of 1742016 is about 1319.8545374396. The cubic root of 1742016 is about 120.3235711744.

Adding to 1742016 its reverse (6102471), we get a palindrome (7844487).

The spelling of 1742016 in words is "one million, seven hundred forty-two thousand, sixteen".