6993672 has 96 divisors (see below), whose sum is σ = 21477600. Its totient is φ = 1886976.

The previous prime is 6993671. The next prime is 6993673. The reversal of 6993672 is 2763996.

It is an interprime number because it is at equal distance from previous prime (6993671) and next prime (6993673).

It is a super-2 number, since 2×6993672² = 97822896087168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6993671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22188 + ... + 22500.

It is an arithmetic number, because the mean of its divisors is an integer number (223725).

Almost surely, 2^6993672 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 6993672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10738800).

6993672 is an abundant number, since it is smaller than the sum of its proper divisors (14483928).

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

6993672 is a wasteful number, since it uses less digits than its factorization.

6993672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its digits is 122472, while the sum is 42.

The square root of 6993672 is about 2644.5551610810. Note that the first 3 decimals coincide. The cubic root of 6993672 is about 191.2354579058.

It can be divided in two parts, 699 and 3672, that added together give a triangular number (4371 = T₉₃).

The spelling of 6993672 in words is "six million, nine hundred ninety-three thousand, six hundred seventy-two".