5629608 has 64 divisors (see below), whose sum is σ = 15912000. Its totient is φ = 1843776.

The previous prime is 5629583. The next prime is 5629609. The reversal of 5629608 is 8069265.

5629608 is a `hidden beast` number, since 562 + 96 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5629609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14278 + ... + 14666.

It is an arithmetic number, because the mean of its divisors is an integer number (248625).

Almost surely, 2^5629608 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 5629608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7956000).

5629608 is an abundant number, since it is smaller than the sum of its proper divisors (10282392).

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

5629608 is a wasteful number, since it uses less digits than its factorization.

5629608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 461 counting only the distinct ones).

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

The square root of 5629608 is about 2372.6794979516. The cubic root of 5629608 is about 177.8932154194.

The spelling of 5629608 in words is "five million, six hundred twenty-nine thousand, six hundred eight".