10563840 has 216 divisors, whose sum is σ = 42090048. Its totient is φ = 2396160.

The previous prime is 10563827. The next prime is 10563863. The reversal of 10563840 is 4836501.

It is a super-2 number, since 2×10563840² = 223189431091200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80575 + ... + 80705.

Almost surely, 2^10563840 is an apocalyptic number.

10563840 is a gapful number since it is divisible by the number (10) 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 10563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21045024).

10563840 is an abundant number, since it is smaller than the sum of its proper divisors (31526208).

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

10563840 is a wasteful number, since it uses less digits than its factorization.

10563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10563840 is about 3250.2061473082. The cubic root of 10563840 is about 219.4188518760.

The spelling of 10563840 in words is "ten million, five hundred sixty-three thousand, eight hundred forty".