1616688 has 60 divisors (see below), whose sum is σ = 4610320. Its totient is φ = 528768.

The previous prime is 1616687. The next prime is 1616689. The reversal of 1616688 is 8866161.

It is an interprime number because it is at equal distance from previous prime (1616687) and next prime (1616689).

It is a super-2 number, since 2×1616688² = 5227360178688, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1616687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14778 + ... + 14886.

2^1616688 is an apocalyptic number.

1616688 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 1616688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305160).

1616688 is an abundant number, since it is smaller than the sum of its proper divisors (2993632).

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

1616688 is a wasteful number, since it uses less digits than its factorization.

1616688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1616688 is about 1271.4904639831. The cubic root of 1616688 is about 117.3659373351.

It can be divided in two parts, 1616 and 688, that added together give a square (2304 = 48²).

The spelling of 1616688 in words is "one million, six hundred sixteen thousand, six hundred eighty-eight".