5512000 has 112 divisors (see below), whose sum is σ = 14977872. Its totient is φ = 1996800.

The previous prime is 5511997. The next prime is 5512007. The reversal of 5512000 is 2155.

It can be written as a sum of positive squares in 8 ways, for example, as 2214144 + 3297856 = 1488^2 + 1816^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5512007) 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, 103974 + ... + 104026.

It is an arithmetic number, because the mean of its divisors is an integer number (133731).

Almost surely, 2^5512000 is an apocalyptic number.

5512000 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 5512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488936).

5512000 is an abundant number, since it is smaller than the sum of its proper divisors (9465872).

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

5512000 is a wasteful number, since it uses less digits than its factorization.

5512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 5512000 is about 2347.7648945327. The cubic root of 5512000 is about 176.6456998178.

Adding to 5512000 its reverse (2155), we get a palindrome (5514155).

It can be divided in two parts, 5 and 512000, that multiplied together give a 4-th power (2560000 = 40⁴).

The spelling of 5512000 in words is "five million, five hundred twelve thousand".