10821408 has 144 divisors (see below), whose sum is σ = 33203520. Its totient is φ = 3075072.

The previous prime is 10821397. The next prime is 10821409. The reversal of 10821408 is 80412801.

It is a super-2 number, since 2×10821408² = 234205742204928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10821409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373138 + ... + 373166.

It is an arithmetic number, because the mean of its divisors is an integer number (230580).

Almost surely, 2^10821408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10821408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760).

10821408 is an abundant number, since it is smaller than the sum of its proper divisors (22382112).

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

10821408 is a wasteful number, since it uses less digits than its factorization.

10821408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 10821408 is about 3289.5908560184. The cubic root of 10821408 is about 221.1878449045.

The spelling of 10821408 in words is "ten million, eight hundred twenty-one thousand, four hundred eight".