6948720 has 80 divisors (see below), whose sum is σ = 23941920. Its totient is φ = 1852416.

The previous prime is 6948713. The next prime is 6948727. The reversal of 6948720 is 278496.

It is an interprime number because it is at equal distance from previous prime (6948713) and next prime (6948727).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6948727) 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, 552 + ... + 3768.

It is an arithmetic number, because the mean of its divisors is an integer number (299274).

Almost surely, 2^6948720 is an apocalyptic number.

6948720 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 6948720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11970960).

6948720 is an abundant number, since it is smaller than the sum of its proper divisors (16993200).

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

6948720 is a wasteful number, since it uses less digits than its factorization.

6948720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6948720 is about 2636.0424882767. The cubic root of 6948720 is about 190.8248533742.

The spelling of 6948720 in words is "six million, nine hundred forty-eight thousand, seven hundred twenty".