5629680 has 120 divisors (see below), whose sum is σ = 21626592. Its totient is φ = 1285632.

The previous prime is 5629651. The next prime is 5629697. The reversal of 5629680 is 869265.

5629680 is a `hidden beast` number, since 562 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4482 + ... + 5598.

Almost surely, 2^5629680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5629680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10813296).

5629680 is an abundant number, since it is smaller than the sum of its proper divisors (15996912).

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

5629680 is a wasteful number, since it uses less digits than its factorization.

5629680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5629680 is about 2372.6946706224. The cubic root of 5629680 is about 177.8939738059.

The spelling of 5629680 in words is "five million, six hundred twenty-nine thousand, six hundred eighty".