45123624 has 192 divisors, whose sum is σ = 154103040. Its totient is φ = 11612160.

The previous prime is 45123599. The next prime is 45123643. The reversal of 45123624 is 42632154.

It is a super-2 number, since 2×45123624² = 4072282885786752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465144 + ... + 465240.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 2^45123624 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 45123624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77051520).

45123624 is an abundant number, since it is smaller than the sum of its proper divisors (108979416).

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

45123624 is a wasteful number, since it uses less digits than its factorization.

45123624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 193 counting only the distinct ones).

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

The square root of 45123624 is about 6717.4120016566. The cubic root of 45123624 is about 356.0147492101.

Adding to 45123624 its reverse (42632154), we get a palindrome (87755778).

The spelling of 45123624 in words is "forty-five million, one hundred twenty-three thousand, six hundred twenty-four".