6936840 has 80 divisors (see below), whose sum is σ = 23326380. Its totient is φ = 1848960.

The previous prime is 6936827. The next prime is 6936841. The reversal of 6936840 is 486396.

It can be written as a sum of positive squares in 2 ways, for example, as 6625476 + 311364 = 2574^2 + 558^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 6936795 and 6936804.

It is not an unprimeable number, because it can be changed into a prime (6936841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2170 + ... + 4310.

Almost surely, 2^6936840 is an apocalyptic number.

6936840 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 6936840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11663190).

6936840 is an abundant number, since it is smaller than the sum of its proper divisors (16389540).

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

6936840 is a wasteful number, since it uses less digits than its factorization.

6936840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6936840 is about 2633.7881463778. The cubic root of 6936840 is about 190.7160423306.

It can be divided in two parts, 6936 and 840, that added together give a 5-th power (7776 = 6⁵).

The spelling of 6936840 in words is "six million, nine hundred thirty-six thousand, eight hundred forty".