2632968 has 96 divisors (see below), whose sum is σ = 8026200. Its totient is φ = 774144.

The previous prime is 2632967. The next prime is 2632999. The reversal of 2632968 is 8692362.

It can be written as a sum of positive squares in 4 ways, for example, as 1790244 + 842724 = 1338^2 + 918^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 2²⁰ + 6² + 3³ + 2²⁰ + 9⁶ + 6³ + 8⁴ .

Its product of digits (31104) is a multiple of the sum of its prime divisors (144).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2632967) 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 23 ways as a sum of consecutive naturals, for example, 27096 + ... + 27192.

2^2632968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2632968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013100).

2632968 is an abundant number, since it is smaller than the sum of its proper divisors (5393232).

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

2632968 is a wasteful number, since it uses less digits than its factorization.

2632968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

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

The square root of 2632968 is about 1622.6422896005. The cubic root of 2632968 is about 138.0856431210.

It can be divided in two parts, 2632 and 968, that added together give a square (3600 = 60²).

The spelling of 2632968 in words is "two million, six hundred thirty-two thousand, nine hundred sixty-eight".