45162624 has 128 divisors (see below), whose sum is σ = 131947200. Its totient is φ = 13602816.

The previous prime is 45162617. The next prime is 45162661. The reversal of 45162624 is 42626154.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45162591 and 45162600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414282 + ... + 414390.

Almost surely, 2^45162624 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 45162624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65973600).

45162624 is an abundant number, since it is smaller than the sum of its proper divisors (86784576).

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

45162624 is a wasteful number, since it uses less digits than its factorization.

45162624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 45162624 is about 6720.3142783653. The cubic root of 45162624 is about 356.1172866084.

Adding to 45162624 its reverse (42626154), we get a palindrome (87788778).

It can be divided in two parts, 4516 and 2624, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 45162624 in words is "forty-five million, one hundred sixty-two thousand, six hundred twenty-four".