63811020 has 288 divisors, whose sum is σ = 236113920. Its totient is φ = 12579840.

The previous prime is 63811019. The next prime is 63811021. The reversal of 63811020 is 2011836.

It is an interprime number because it is at equal distance from previous prime (63811019) and next prime (63811021).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63811021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2058405 + ... + 2058435.

It is an arithmetic number, because the mean of its divisors is an integer number (819840).

Almost surely, 2^63811020 is an apocalyptic number.

63811020 is a gapful number since it is divisible by the number (60) 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 63811020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118056960).

63811020 is an abundant number, since it is smaller than the sum of its proper divisors (172302900).

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

63811020 is a wasteful number, since it uses less digits than its factorization.

63811020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 63811020 is about 7988.1800180016. The cubic root of 63811020 is about 399.6059035141.

Adding to 63811020 its reverse (2011836), we get a palindrome (65822856).

The spelling of 63811020 in words is "sixty-three million, eight hundred eleven thousand, twenty".