2689632 has 96 divisors (see below), whose sum is σ = 8588160. Its totient is φ = 812160.

The previous prime is 2689619. The next prime is 2689637. The reversal of 2689632 is 2369862.

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

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 2¹³ + 6 + 8⁷ + 9³ + 6³ + 3¹⁰ + 2¹⁹ .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2689637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9363 + ... + 9645.

It is an arithmetic number, because the mean of its divisors is an integer number (89460).

2^2689632 is an apocalyptic number.

2689632 is a gapful number since it is divisible by the number (22) 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 2689632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294080).

2689632 is an abundant number, since it is smaller than the sum of its proper divisors (5898528).

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

2689632 is a wasteful number, since it uses less digits than its factorization.

2689632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 299 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2689632 is about 1640.0097560685. The cubic root of 2689632 is about 139.0691993658.

It can be divided in two parts, 2689 and 632, that added together give a triangular number (3321 = T₈₁).

The spelling of 2689632 in words is "two million, six hundred eighty-nine thousand, six hundred thirty-two".