45186840 has 96 divisors (see below), whose sum is σ = 151632000. Its totient is φ = 11658240.

The previous prime is 45186839. The next prime is 45186853. The reversal of 45186840 is 4868154.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45186795 and 45186804.

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, 9136 + ... + 13184.

It is an arithmetic number, because the mean of its divisors is an integer number (1579500).

Almost surely, 2^45186840 is an apocalyptic number.

45186840 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 45186840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75816000).

45186840 is an abundant number, since it is smaller than the sum of its proper divisors (106445160).

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

45186840 is a wasteful number, since it uses less digits than its factorization.

45186840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 45186840 is about 6722.1157383669. The cubic root of 45186840 is about 356.1809247423.

The spelling of 45186840 in words is "forty-five million, one hundred eighty-six thousand, eight hundred forty".