54512406 has 128 divisors (see below), whose sum is σ = 141657600. Its totient is φ = 15396480.

The previous prime is 54512399. The next prime is 54512407. The reversal of 54512406 is 60421545.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 54512406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54512407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 813585 + ... + 813651.

It is an arithmetic number, because the mean of its divisors is an integer number (1106700).

Almost surely, 2^54512406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54512406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70828800).

54512406 is an abundant number, since it is smaller than the sum of its proper divisors (87145194).

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

54512406 is a wasteful number, since it uses less digits than its factorization.

54512406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 54512406 is about 7383.2517226490. The cubic root of 54512406 is about 379.1680923721.

The spelling of 54512406 in words is "fifty-four million, five hundred twelve thousand, four hundred six".