1516968 has 40 divisors (see below), whose sum is σ = 4250730. Its totient is φ = 505440.

The previous prime is 1516967. The next prime is 1516987. The reversal of 1516968 is 8696151.

It can be written as a sum of positive squares in only one way, i.e., 1205604 + 311364 = 1098^2 + 558^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1516967) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 523 + ... + 1818.

2^1516968 is an apocalyptic number.

1516968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1516968 is an abundant number, since it is smaller than the sum of its proper divisors (2733762).

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

1516968 is a wasteful number, since it uses less digits than its factorization.

1516968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2346 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 1516968 is about 1231.6525484080. The cubic root of 1516968 is about 114.9014404444.

The spelling of 1516968 in words is "one million, five hundred sixteen thousand, nine hundred sixty-eight".