6946500 has 96 divisors (see below), whose sum is σ = 22119552. Its totient is φ = 1680000.

The previous prime is 6946487. The next prime is 6946501. The reversal of 6946500 is 56496.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6946501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16290 + ... + 16710.

It is an arithmetic number, because the mean of its divisors is an integer number (230412).

Almost surely, 2^6946500 is an apocalyptic number.

6946500 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 6946500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11059776).

6946500 is an abundant number, since it is smaller than the sum of its proper divisors (15173052).

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

6946500 is a wasteful number, since it uses less digits than its factorization.

6946500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 6946500 is about 2635.6213688616. The cubic root of 6946500 is about 190.8045294250.

The spelling of 6946500 in words is "six million, nine hundred forty-six thousand, five hundred".