2729664 has 84 divisors (see below), whose sum is σ = 8955024. Its totient is φ = 778752.

The previous prime is 2729653. The next prime is 2729681. The reversal of 2729664 is 4669272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

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 a d-powerful number, because it can be written as 2⁵ + 7 + 2⁷ + 9 + 6⁴ + 6⁸ + 4¹⁰ .

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, 3694 + ... + 4370.

2^2729664 is an apocalyptic number.

2729664 is a gapful number since it is divisible by the number (24) 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 2729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477512).

2729664 is an abundant number, since it is smaller than the sum of its proper divisors (6225360).

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

2729664 is a wasteful number, since it uses less digits than its factorization.

2729664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 689 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2729664 is about 1652.1694828316. The cubic root of 2729664 is about 139.7557646460.

The spelling of 2729664 in words is "two million, seven hundred twenty-nine thousand, six hundred sixty-four".