45641024 has 56 divisors (see below), whose sum is σ = 106423968. Its totient is φ = 19146240.

The previous prime is 45641023. The next prime is 45641053. The reversal of 45641024 is 42014654.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 45640984 and 45641002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45641023) 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 7 ways as a sum of consecutive naturals, for example, 6659 + ... + 11645.

It is an arithmetic number, because the mean of its divisors is an integer number (1900428).

Almost surely, 2^45641024 is an apocalyptic number.

45641024 is a gapful number since it is divisible by the number (44) 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 45641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53211984).

45641024 is an abundant number, since it is smaller than the sum of its proper divisors (60782944).

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

45641024 is a wasteful number, since it uses less digits than its factorization.

45641024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 45641024 is about 6755.8140886203. The cubic root of 45641024 is about 357.3703026031.

Adding to 45641024 its reverse (42014654), we get a palindrome (87655678).

The spelling of 45641024 in words is "forty-five million, six hundred forty-one thousand, twenty-four".