1516672 has 48 divisors (see below), whose sum is σ = 3287970. Its totient is φ = 696320.

The previous prime is 1516663. The next prime is 1516681. The reversal of 1516672 is 2766151.

It is an interprime number because it is at equal distance from previous prime (1516663) and next prime (1516681).

It can be written as a sum of positive squares in 3 ways, for example, as 1308736 + 207936 = 1144^2 + 456^2 .

Its product of digits (2520) is a multiple of the sum of its prime divisors (60).

It is a self number, because there is not a number n which added to its sum of digits gives 1516672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36972 + ... + 37012.

2^1516672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643985).

1516672 is an abundant number, since it is smaller than the sum of its proper divisors (1771298).

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

1516672 is an equidigital number, since it uses as much as digits as its factorization.

1516672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 60 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 1516672 is about 1231.5323787867. The cubic root of 1516672 is about 114.8939665362.

The spelling of 1516672 in words is "one million, five hundred sixteen thousand, six hundred seventy-two".