2633664 has 112 divisors (see below), whose sum is σ = 8046720. Its totient is φ = 752640.

The previous prime is 2633663. The next prime is 2633677. The reversal of 2633664 is 4663362.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 2²¹ + 6² + 3⁷ + 3¹² + 6⁴ + 6⁴ + 4⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2633663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61227 + ... + 61269.

2^2633664 is an apocalyptic number.

2633664 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 2633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023360).

2633664 is an abundant number, since it is smaller than the sum of its proper divisors (5413056).

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

2633664 is a wasteful number, since it uses less digits than its factorization.

2633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 2633664 is about 1622.8567404426. The cubic root of 2633664 is about 138.0978092570.

The spelling of 2633664 in words is "two million, six hundred thirty-three thousand, six hundred sixty-four".