10820736 has 128 divisors (see below), whose sum is σ = 33292800. Its totient is φ = 3456000.

The previous prime is 10820699. The next prime is 10820737. The reversal of 10820736 is 63702801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10820737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107086 + ... + 107186.

It is an arithmetic number, because the mean of its divisors is an integer number (260100).

Almost surely, 2^10820736 is an apocalyptic number.

10820736 is a gapful number since it is divisible by the number (16) 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 10820736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16646400).

10820736 is an abundant number, since it is smaller than the sum of its proper divisors (22472064).

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

10820736 is a wasteful number, since it uses less digits than its factorization.

10820736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10820736 is about 3289.4887140709. The cubic root of 10820736 is about 221.1832662857.

The spelling of 10820736 in words is "ten million, eight hundred twenty thousand, seven hundred thirty-six".