6936480 has 72 divisors (see below), whose sum is σ = 23675652. Its totient is φ = 1849344.

The previous prime is 6936473. The next prime is 6936499. The reversal of 6936480 is 846396.

6936480 is a `hidden beast` number, since 6 + 9 + 3 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6290064 + 646416 = 2508^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×6936480² = 96229509580800, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 969 + ... + 3848.

Almost surely, 2^6936480 is an apocalyptic number.

6936480 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 6936480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11837826).

6936480 is an abundant number, since it is smaller than the sum of its proper divisors (16739172).

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

6936480 is a wasteful number, since it uses less digits than its factorization.

6936480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 4827 counting only the distinct ones).

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

The square root of 6936480 is about 2633.7198028644. The cubic root of 6936480 is about 190.7127430875.

The spelling of 6936480 in words is "six million, nine hundred thirty-six thousand, four hundred eighty".