10820400 has 120 divisors (see below), whose sum is σ = 35426304. Its totient is φ = 2822400.

The previous prime is 10820399. The next prime is 10820401. The reversal of 10820400 is 402801.

It is an interprime number because it is at equal distance from previous prime (10820399) and next prime (10820401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10820400.

It is not an unprimeable number, because it can be changed into a prime (10820401) 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, 85137 + ... + 85263.

Almost surely, 2^10820400 is an apocalyptic number.

10820400 is a gapful number since it is divisible by the number (10) 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 10820400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713152).

10820400 is an abundant number, since it is smaller than the sum of its proper divisors (24605904).

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

10820400 is a wasteful number, since it uses less digits than its factorization.

10820400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10820400 is about 3289.4376419078. The cubic root of 10820400 is about 221.1809769051.

The spelling of 10820400 in words is "ten million, eight hundred twenty thousand, four hundred".