10838820 has 24 divisors (see below), whose sum is σ = 30348864. Its totient is φ = 2890336.

The previous prime is 10838813. The next prime is 10838827. The reversal of 10838820 is 2883801.

It is an interprime number because it is at equal distance from previous prime (10838813) and next prime (10838827).

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

It is not an unprimeable number, because it can be changed into a prime (10838827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90264 + ... + 90383.

It is an arithmetic number, because the mean of its divisors is an integer number (1264536).

Almost surely, 2^10838820 is an apocalyptic number.

10838820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10838820 is an abundant number, since it is smaller than the sum of its proper divisors (19510044).

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

10838820 is a wasteful number, since it uses less digits than its factorization.

10838820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180659 (or 180657 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 10838820 is about 3292.2363220158. The cubic root of 10838820 is about 221.3064141630.

The spelling of 10838820 in words is "ten million, eight hundred thirty-eight thousand, eight hundred twenty".