6973890 has 64 divisors (see below), whose sum is σ = 20874240. Its totient is φ = 1448640.

The previous prime is 6973877. The next prime is 6973913. The reversal of 6973890 is 983796.

6973890 = 150² + 151² + ... + 289².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 801 + ... + 3819.

It is an arithmetic number, because the mean of its divisors is an integer number (326160).

Almost surely, 2^6973890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6973890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10437120).

6973890 is an abundant number, since it is smaller than the sum of its proper divisors (13900350).

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

6973890 is a wasteful number, since it uses less digits than its factorization.

6973890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047.

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 6973890 is about 2640.8123750089. The cubic root of 6973890 is about 191.0549808368.

The spelling of 6973890 in words is "six million, nine hundred seventy-three thousand, eight hundred ninety".