63903840 has 576 divisors, whose sum is σ = 289578240. Its totient is φ = 11612160.

The previous prime is 63903839. The next prime is 63903841. The reversal of 63903840 is 4830936.

It is an interprime number because it is at equal distance from previous prime (63903839) and next prime (63903841).

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63903841) 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, 3363351 + ... + 3363369.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 2^63903840 is an apocalyptic number.

63903840 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 63903840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

63903840 is an abundant number, since it is smaller than the sum of its proper divisors (225674400).

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

63903840 is a wasteful number, since it uses less digits than its factorization.

63903840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 63903840 is about 7993.9877407962. The cubic root of 63903840 is about 399.7995662492.

The spelling of 63903840 in words is "sixty-three million, nine hundred three thousand, eight hundred forty".