1516788 has 72 divisors (see below), whose sum is σ = 4729088. Its totient is φ = 399168.

The previous prime is 1516771. The next prime is 1516817. The reversal of 1516788 is 8876151.

1516788 is nontrivially palindromic in base 11.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3045 + ... + 3507.

2^1516788 is an apocalyptic number.

1516788 is a gapful number since it is divisible by the number (18) 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 1516788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364544).

1516788 is an abundant number, since it is smaller than the sum of its proper divisors (3212300).

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

1516788 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (1516787) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (493).

1516788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 488 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 1516788 is about 1231.5794736841. The cubic root of 1516788 is about 114.8968956161.

It can be divided in two parts, 1516 and 788, that added together give a square (2304 = 48²).

The spelling of 1516788 in words is "one million, five hundred sixteen thousand, seven hundred eighty-eight".