1679616 has 81 divisors (see below), whose sum is σ = 5028751. Its totient is φ = 559872.

The previous prime is 1679609. The next prime is 1679627. The reversal of 1679616 is 6169761.

The square root of 1679616 is 1296.

It is a perfect power (a square, a biquadrate, a 8-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (3!)⁸.

It is a tau number, because it is divible by the number of its divisors (81).

It is a super-2 number, since 2×1679616² = 5642219814912, which contains 22 as substring.

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

It is a Duffinian number.

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 559871 + 559872 + 559873.

2^1679616 is an apocalyptic number.

1679616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1679616 is the 1296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1679616

1679616 is an abundant number, since it is smaller than the sum of its proper divisors (3349135).

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

1679616 is an frugal number, since it uses more digits than its factorization.

1679616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 5 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The cubic root of 1679616 is about 118.8693809602.

Multiplying 1679616 by its sum of digits (36), we get a 10-th power (60466176 = 6¹⁰).

1679616 divided by its sum of digits (36) gives a 6-th power (46656 = 6⁶).

The spelling of 1679616 in words is "one million, six hundred seventy-nine thousand, six hundred sixteen".