5526600 has 96 divisors (see below), whose sum is σ = 17528640. Its totient is φ = 1440000.

The previous prime is 5526593. The next prime is 5526607. The reversal of 5526600 is 66255.

It is an interprime number because it is at equal distance from previous prime (5526593) and next prime (5526607).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5526607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36525 + ... + 36675.

It is an arithmetic number, because the mean of its divisors is an integer number (182590).

Almost surely, 2^5526600 is an apocalyptic number.

5526600 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 5526600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8764320).

5526600 is an abundant number, since it is smaller than the sum of its proper divisors (12002040).

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

5526600 is a wasteful number, since it uses less digits than its factorization.

5526600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5526600 is about 2350.8721785754. The cubic root of 5526600 is about 176.8015267096.

The spelling of 5526600 in words is "five million, five hundred twenty-six thousand, six hundred".