6949800 has 288 divisors, whose sum is σ = 28435680. Its totient is φ = 1555200.

The previous prime is 6949799. The next prime is 6949823. The reversal of 6949800 is 89496.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 534594 + ... + 534606.

It is an arithmetic number, because the mean of its divisors is an integer number (98735).

Almost surely, 2^6949800 is an apocalyptic number.

6949800 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 6949800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217840).

6949800 is an abundant number, since it is smaller than the sum of its proper divisors (21485880).

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

6949800 is a wasteful number, since it uses less digits than its factorization.

6949800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6949800 is about 2636.2473328578. The cubic root of 6949800 is about 190.8347391356.

The spelling of 6949800 in words is "six million, nine hundred forty-nine thousand, eight hundred".