1516416 has 64 divisors (see below), whose sum is σ = 4406400. Its totient is φ = 458240.

The previous prime is 1516397. The next prime is 1516421. The reversal of 1516416 is 6146151.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4045 + ... + 4403.

It is an arithmetic number, because the mean of its divisors is an integer number (68850).

2^1516416 is an apocalyptic number.

1516416 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 1516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203200).

1516416 is an abundant number, since it is smaller than the sum of its proper divisors (2889984).

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

1516416 is a wasteful number, since it uses less digits than its factorization.

1516416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 375 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 1516416 is about 1231.4284388465. The cubic root of 1516416 is about 114.8875018314.

The spelling of 1516416 in words is "one million, five hundred sixteen thousand, four hundred sixteen".