63816090 has 96 divisors (see below), whose sum is σ = 170444736. Its totient is φ = 15275520.

The previous prime is 63816061. The next prime is 63816097. The reversal of 63816090 is 9061836.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (63816097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207717 + ... + 208023.

It is an arithmetic number, because the mean of its divisors is an integer number (1775466).

Almost surely, 2^63816090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63816090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85222368).

63816090 is an abundant number, since it is smaller than the sum of its proper divisors (106628646).

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

63816090 is a wasteful number, since it uses less digits than its factorization.

63816090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 63816090 is about 7988.4973555732. The cubic root of 63816090 is about 399.6164865778.

The spelling of 63816090 in words is "sixty-three million, eight hundred sixteen thousand, ninety".