45116820 has 144 divisors (see below), whose sum is σ = 159239808. Its totient is φ = 10126080.

The previous prime is 45116807. The next prime is 45116831. The reversal of 45116820 is 2861154.

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, 76567 + ... + 77153.

It is an arithmetic number, because the mean of its divisors is an integer number (1105832).

Almost surely, 2^45116820 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 45116820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79619904).

45116820 is an abundant number, since it is smaller than the sum of its proper divisors (114122988).

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

45116820 is a wasteful number, since it uses less digits than its factorization.

45116820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 45116820 is about 6716.9055375225. The cubic root of 45116820 is about 355.9968543256.

Adding to 45116820 its reverse (2861154), we get a palindrome (47977974).

It can be divided in two parts, 451 and 16820, that added together give a palindrome (17271).

The spelling of 45116820 in words is "forty-five million, one hundred sixteen thousand, eight hundred twenty".