5625504 has 96 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 1760256.

The previous prime is 5625493. The next prime is 5625509. The reversal of 5625504 is 4055265.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is not an unprimeable number, because it can be changed into a prime (5625509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14497 + ... + 14879.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^5625504 is an apocalyptic number.

5625504 is a gapful number since it is divisible by the number (54) 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 5625504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

5625504 is an abundant number, since it is smaller than the sum of its proper divisors (11792736).

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

5625504 is a wasteful number, since it uses less digits than its factorization.

5625504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5625504 is about 2371.8144952757. The cubic root of 5625504 is about 177.8499766932.

The spelling of 5625504 in words is "five million, six hundred twenty-five thousand, five hundred four".