5679100 has 108 divisors (see below), whose sum is σ = 15337560. Its totient is φ = 1814400.

The previous prime is 5679031. The next prime is 5679101. The reversal of 5679100 is 19765.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5679101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93070 + ... + 93130.

Almost surely, 2^5679100 is an apocalyptic number.

5679100 is a gapful number since it is divisible by the number (50) 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 5679100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7668780).

5679100 is an abundant number, since it is smaller than the sum of its proper divisors (9658460).

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

5679100 is a wasteful number, since it uses less digits than its factorization.

5679100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 5679100 is about 2383.0862342769. The cubic root of 5679100 is about 178.4130038716.

The spelling of 5679100 in words is "five million, six hundred seventy-nine thousand, one hundred".