6993540 has 72 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 1863648.

The previous prime is 6993533. The next prime is 6993551. The reversal of 6993540 is 453996.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6993495 and 6993504.

It is a congruent number.

It is an unprimeable number.

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, 4141 + ... + 5579.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 2^6993540 is an apocalyptic number.

6993540 is a gapful number since it is divisible by the number (60) 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 6993540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

6993540 is an abundant number, since it is smaller than the sum of its proper divisors (15021180).

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

6993540 is a wasteful number, since it uses less digits than its factorization.

6993540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 6993540 is about 2644.5302040249. The cubic root of 6993540 is about 191.2342547591.

The spelling of 6993540 in words is "six million, nine hundred ninety-three thousand, five hundred forty".