671616 has 96 divisors (see below), whose sum is σ = 2148120. Its totient is φ = 199680.

The previous prime is 671609. The next prime is 671633. The reversal of 671616 is 616176.

671616 = 8³ + 9³ + ... + 40³.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

Its product of digits (1512) is a multiple of the sum of its prime factors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 671616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12646 + ... + 12698.

2⁶⁷¹⁶¹⁶ is an apocalyptic number.

671616 is a gapful number since it is divisible by the number (66) 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 671616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074060).

671616 is an abundant number, since it is smaller than the sum of its proper divisors (1476504).

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

671616 is a wasteful number, since it uses less digits than its factorization.

671616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 69 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 671616 is about 819.5218117903. The cubic root of 671616 is about 87.5736957364.

The spelling of 671616 in words is "six hundred seventy-one thousand, six hundred sixteen".