6996240 has 160 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 1797120.

The previous prime is 6996239. The next prime is 6996257. The reversal of 6996240 is 426996.

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 = 6996195 and 6996204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88521 + ... + 88599.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 2^6996240 is an apocalyptic number.

6996240 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 6996240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

6996240 is an abundant number, since it is smaller than the sum of its proper divisors (18002160).

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

6996240 is a wasteful number, since it uses less digits than its factorization.

6996240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6996240 is about 2645.0406424099. The cubic root of 6996240 is about 191.2588615656.

The spelling of 6996240 in words is "six million, nine hundred ninety-six thousand, two hundred forty".