45061600 has 144 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 16473600.

The previous prime is 45061591. The next prime is 45061637. The reversal of 45061600 is 616054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570361 + ... + 570439.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 2^45061600 is an apocalyptic number.

45061600 is a gapful number since it is divisible by the number (40) 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 45061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

45061600 is an abundant number, since it is smaller than the sum of its proper divisors (74930720).

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

45061600 is a wasteful number, since it uses less digits than its factorization.

45061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 45061600 is about 6712.7937552110. The cubic root of 45061600 is about 355.8515561726.

Adding to 45061600 its reverse (616054), we get a palindrome (45677654).

The spelling of 45061600 in words is "forty-five million, sixty-one thousand, six hundred".