5906400 has 144 divisors (see below), whose sum is σ = 20248704. Its totient is φ = 1492480.

The previous prime is 5906371. The next prime is 5906441. The reversal of 5906400 is 46095.

5906400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55147 + ... + 55253.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 2^5906400 is an apocalyptic number.

5906400 is a gapful number since it is divisible by the number (50) 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 5906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124352).

5906400 is an abundant number, since it is smaller than the sum of its proper divisors (14342304).

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

5906400 is a wasteful number, since it uses less digits than its factorization.

5906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 5906400 is about 2430.3086223770. The cubic root of 5906400 is about 180.7622000492.

The spelling of 5906400 in words is "five million, nine hundred six thousand, four hundred".