10578400 has 72 divisors (see below), whose sum is σ = 29529360. Its totient is φ = 3624960.

The previous prime is 10578391. The next prime is 10578401. The reversal of 10578400 is 487501.

It is a super-2 number, since 2×10578400² = 223805093120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10578401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4656 + ... + 6544.

It is an arithmetic number, because the mean of its divisors is an integer number (410130).

Almost surely, 2^10578400 is an apocalyptic number.

10578400 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 10578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764680).

10578400 is an abundant number, since it is smaller than the sum of its proper divisors (18950960).

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

10578400 is a wasteful number, since it uses less digits than its factorization.

10578400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 10578400 is about 3252.4452339740. The cubic root of 10578400 is about 219.5196129582.

The spelling of 10578400 in words is "ten million, five hundred seventy-eight thousand, four hundred".