45601020 has 144 divisors (see below), whose sum is σ = 146397888. Its totient is φ = 11473920.

The previous prime is 45601013. The next prime is 45601063. The reversal of 45601020 is 2010654.

It is a happy number.

45601020 is a `hidden beast` number, since 4 + 560 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 45600984 and 45601002.

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, 272977 + ... + 273143.

It is an arithmetic number, because the mean of its divisors is an integer number (1016652).

Almost surely, 2^45601020 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 45601020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73198944).

45601020 is an abundant number, since it is smaller than the sum of its proper divisors (100796868).

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

45601020 is a wasteful number, since it uses less digits than its factorization.

45601020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 45601020 is about 6752.8527305132. The cubic root of 45601020 is about 357.2658613263.

Adding to 45601020 its reverse (2010654), we get a palindrome (47611674).

The spelling of 45601020 in words is "forty-five million, six hundred one thousand, twenty".