45006624 has 96 divisors (see below), whose sum is σ = 141402240. Its totient is φ = 13844736.

The previous prime is 45006623. The next prime is 45006631. The reversal of 45006624 is 42660054.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45006623) 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, 9229 + ... + 13235.

It is an arithmetic number, because the mean of its divisors is an integer number (1472940).

Almost surely, 2^45006624 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 45006624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70701120).

45006624 is an abundant number, since it is smaller than the sum of its proper divisors (96395616).

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

45006624 is a wasteful number, since it uses less digits than its factorization.

45006624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45006624 is about 6708.6976381411. The cubic root of 45006624 is about 355.7067820826.

Adding to 45006624 its reverse (42660054), we get a palindrome (87666678).

The spelling of 45006624 in words is "forty-five million, six thousand, six hundred twenty-four".