45661840 has 80 divisors (see below), whose sum is σ = 123242112. Its totient is φ = 15409152.

The previous prime is 45661801. The next prime is 45661841. The reversal of 45661840 is 4816654.

45661840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 45661796 and 45661805.

It is not an unprimeable number, because it can be changed into a prime (45661841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36912 + ... + 38128.

Almost surely, 2^45661840 is an apocalyptic number.

45661840 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 45661840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61621056).

45661840 is an abundant number, since it is smaller than the sum of its proper divisors (77580272).

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

45661840 is a wasteful number, since it uses less digits than its factorization.

45661840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 45661840 is about 6757.3545119373. The cubic root of 45661840 is about 357.4246242705.

The spelling of 45661840 in words is "forty-five million, six hundred sixty-one thousand, eight hundred forty".