63685842 has 64 divisors (see below), whose sum is σ = 151953408. Its totient is φ = 17568000.

The previous prime is 63685763. The next prime is 63685847. The reversal of 63685842 is 24858636.

It is a junction number, because it is equal to n+sod(n) for n = 63685794 and 63685803.

It is not an unprimeable number, because it can be changed into a prime (63685847) 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, 33867 + ... + 35697.

It is an arithmetic number, because the mean of its divisors is an integer number (2374272).

Almost surely, 2^63685842 is an apocalyptic number.

63685842 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 63685842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75976704).

63685842 is an abundant number, since it is smaller than the sum of its proper divisors (88267566).

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

63685842 is a wasteful number, since it uses less digits than its factorization.

63685842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895.

The product of its digits is 276480, while the sum is 42.

The square root of 63685842 is about 7980.3409701591. The cubic root of 63685842 is about 399.3444303246.

The spelling of 63685842 in words is "sixty-three million, six hundred eighty-five thousand, eight hundred forty-two".