5968404 has 90 divisors (see below), whose sum is σ = 17050110. Its totient is φ = 1819584.

The previous prime is 5968379. The next prime is 5968409. The reversal of 5968404 is 4048695.

It can be written as a sum of positive squares in 3 ways, for example, as 63504 + 5904900 = 252^2 + 2430^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5968409) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 54702 + ... + 54810.

Almost surely, 2^5968404 is an apocalyptic number.

5968404 is a gapful number since it is divisible by the number (54) 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 5968404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8525055).

5968404 is an abundant number, since it is smaller than the sum of its proper divisors (11081706).

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

5968404 is a wasteful number, since it uses less digits than its factorization.

5968404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5968404 is about 2443.0317230851. The cubic root of 5968404 is about 181.3925325144.

The spelling of 5968404 in words is "five million, nine hundred sixty-eight thousand, four hundred four".