10820988 has 18 divisors (see below), whose sum is σ = 27353144. Its totient is φ = 3606984.

The previous prime is 10820981. The next prime is 10821001. The reversal of 10820988 is 88902801.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×10820988² = 234187562592288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 300583 = 10820988 / (1 + 0 + 8 + 2 + 0 + 9 + 8 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150256 + ... + 150327.

Almost surely, 2^10820988 is an apocalyptic number.

10820988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10820988 is an abundant number, since it is smaller than the sum of its proper divisors (16532156).

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

10820988 is a wasteful number, since it uses less digits than its factorization.

10820988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300593 (or 300588 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 10820988 is about 3289.5270176729. The cubic root of 10820988 is about 221.1849832900.

The spelling of 10820988 in words is "ten million, eight hundred twenty thousand, nine hundred eighty-eight".