63351840 has 96 divisors (see below), whose sum is σ = 203031360. Its totient is φ = 16600064.

The previous prime is 63351803. The next prime is 63351853. The reversal of 63351840 is 4815336.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 63351798 and 63351807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27202 + ... + 29438.

It is an arithmetic number, because the mean of its divisors is an integer number (2114910).

Almost surely, 2^63351840 is an apocalyptic number.

63351840 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 63351840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101515680).

63351840 is an abundant number, since it is smaller than the sum of its proper divisors (139679520).

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

63351840 is a wasteful number, since it uses less digits than its factorization.

63351840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 63351840 is about 7959.3869110629. The cubic root of 63351840 is about 398.6450823440.

The spelling of 63351840 in words is "sixty-three million, three hundred fifty-one thousand, eight hundred forty".