10821690 has 96 divisors (see below), whose sum is σ = 32550336. Its totient is φ = 2465280.

The previous prime is 10821689. The next prime is 10821709. The reversal of 10821690 is 9612801.

10821690 = 103² + 104² + ... + 322².

It is a super-2 number, since 2×10821690² = 234217948912200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16509 + ... + 17151.

It is an arithmetic number, because the mean of its divisors is an integer number (339066).

Almost surely, 2^10821690 is an apocalyptic number.

10821690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10821690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275168).

10821690 is an abundant number, since it is smaller than the sum of its proper divisors (21728646).

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

10821690 is a wasteful number, since it uses less digits than its factorization.

10821690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10821690 is about 3289.6337182124. The cubic root of 10821690 is about 221.1897662328.

It can be divided in two parts, 10821 and 690, that added together give a palindrome (11511).

The spelling of 10821690 in words is "ten million, eight hundred twenty-one thousand, six hundred ninety".