45077536 has 48 divisors (see below), whose sum is σ = 103118400. Its totient is φ = 18996480.

The previous prime is 45077531. The next prime is 45077563. The reversal of 45077536 is 63577054.

It is a junction number, because it is equal to n+sod(n) for n = 45077495 and 45077504.

It is not an unprimeable number, because it can be changed into a prime (45077531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12015 + ... + 15313.

It is an arithmetic number, because the mean of its divisors is an integer number (2148300).

Almost surely, 2^45077536 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 45077536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51559200).

45077536 is an abundant number, since it is smaller than the sum of its proper divisors (58040864).

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

45077536 is a wasteful number, since it uses less digits than its factorization.

45077536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 37.

The square root of 45077536 is about 6713.9806374460. The cubic root of 45077536 is about 355.8935001044.

The spelling of 45077536 in words is "forty-five million, seventy-seven thousand, five hundred thirty-six".