5632000 has 104 divisors (see below), whose sum is σ = 15333552. Its totient is φ = 2048000.

The previous prime is 5631991. The next prime is 5632001. The reversal of 5632000 is 2365.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5632001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511995 + ... + 512005.

It is an arithmetic number, because the mean of its divisors is an integer number (147438).

Almost surely, 2^5632000 is an apocalyptic number.

5632000 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 5632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7666776).

5632000 is an abundant number, since it is smaller than the sum of its proper divisors (9701552).

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

5632000 is an equidigital number, since it uses as much as digits as its factorization.

5632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 5632000 is about 2373.1835158706. The cubic root of 5632000 is about 177.9184072455.

Adding to 5632000 its reverse (2365), we get a palindrome (5634365).

The spelling of 5632000 in words is "five million, six hundred thirty-two thousand".