5406000 has 160 divisors (see below), whose sum is σ = 18802368. Its totient is φ = 1331200.

The previous prime is 5405999. The next prime is 5406007. The reversal of 5406000 is 6045.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5406007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101974 + ... + 102026.

Almost surely, 2^5406000 is an apocalyptic number.

5406000 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 5406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9401184).

5406000 is an abundant number, since it is smaller than the sum of its proper divisors (13396368).

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

5406000 is a wasteful number, since it uses less digits than its factorization.

5406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5406000 is about 2325.0806437627. The cubic root of 5406000 is about 175.5060184136.

It can be divided in two parts, 540 and 6000, that multiplied together give a square (3240000 = 1800²).

The spelling of 5406000 in words is "five million, four hundred six thousand".