63785540 has 96 divisors (see below), whose sum is σ = 166973184. Its totient is φ = 19929600.

The previous prime is 63785539. The next prime is 63785543. The reversal of 63785540 is 4558736.

It is a super-2 number, since 2×63785540² = 8137190226183200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 63785494 and 63785503.

It is not an unprimeable number, because it can be changed into a prime (63785543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183647 + ... + 183993.

It is an arithmetic number, because the mean of its divisors is an integer number (1739304).

Almost surely, 2^63785540 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 63785540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83486592).

63785540 is an abundant number, since it is smaller than the sum of its proper divisors (103187644).

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

63785540 is a wasteful number, since it uses less digits than its factorization.

63785540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 63785540 is about 7986.5850023649. The cubic root of 63785540 is about 399.5527083452.

The spelling of 63785540 in words is "sixty-three million, seven hundred eighty-five thousand, five hundred forty".