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6948480 = 273571147

6948480 has 256 divisors, whose sum is σ = 28200960. Its totient is φ = 1413120.

The previous prime is 6948479. The next prime is 6948481. The reversal of 6948480 is 848496.

It is an interprime number because it is at equal distance from previous prime (6948479) and next prime (6948481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6948481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147817 + ... + 147863.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

Almost surely, 26948480 is an apocalyptic number.

6948480 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 6948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100480).

6948480 is an abundant number, since it is smaller than the sum of its proper divisors (21252480).

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

6948480 is a wasteful number, since it uses less digits than its factorization.

6948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 6948480 is about 2635.9969650969. The cubic root of 6948480 is about 190.8226563992.

The spelling of 6948480 in words is "six million, nine hundred forty-eight thousand, four hundred eighty".