6363840 has 112 divisors (see below), whose sum is σ = 23116032. Its totient is φ = 1453056.

The previous prime is 6363839. The next prime is 6363881. The reversal of 6363840 is 483636.

It is a tau number, because it is divible by the number of its divisors (112).

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 = 6363798 and 6363807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6247 + ... + 7193.

Almost surely, 2^6363840 is an apocalyptic number.

6363840 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 6363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11558016).

6363840 is an abundant number, since it is smaller than the sum of its proper divisors (16752192).

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

6363840 is a wasteful number, since it uses less digits than its factorization.

6363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 6363840 is about 2522.6652572230. The cubic root of 6363840 is about 185.3132263725.

It can be divided in two parts, 63 and 63840, that added together give a triangular number (63903 = T₃₅₇).

The spelling of 6363840 in words is "six million, three hundred sixty-three thousand, eight hundred forty".