6972636 has 48 divisors (see below), whose sum is σ = 17958528. Its totient is φ = 2088000.

The previous prime is 6972631. The next prime is 6972643. The reversal of 6972636 is 6362796.

6972636 = 275² + 276² + ... + 346².

It is a junction number, because it is equal to n+sod(n) for n = 6972594 and 6972603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6972631) 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, 13071 + ... + 13593.

It is an arithmetic number, because the mean of its divisors is an integer number (374136).

Almost surely, 2^6972636 is an apocalyptic number.

6972636 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 6972636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8979264).

6972636 is an abundant number, since it is smaller than the sum of its proper divisors (10985892).

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

6972636 is a wasteful number, since it uses less digits than its factorization.

6972636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 640 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 6972636 is about 2640.5749373953. The cubic root of 6972636 is about 191.0435287248.

It can be divided in two parts, 697 and 2636, that added together give a palindrome (3333).

The spelling of 6972636 in words is "six million, nine hundred seventy-two thousand, six hundred thirty-six".