54615000 has 160 divisors (see below), whose sum is σ = 186690240. Its totient is φ = 13200000.

The previous prime is 54614971. The next prime is 54615007. The reversal of 54615000 is 51645.

It is a happy number.

54615000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54615007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164835 + ... + 165165.

It is an arithmetic number, because the mean of its divisors is an integer number (1166814).

Almost surely, 2^54615000 is an apocalyptic number.

54615000 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 54615000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93345120).

54615000 is an abundant number, since it is smaller than the sum of its proper divisors (132075240).

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

54615000 is a wasteful number, since it uses less digits than its factorization.

54615000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 54615000 is about 7390.1962084914. The cubic root of 54615000 is about 379.4058119159.

Adding to 54615000 its reverse (51645), we get a palindrome (54666645).

The spelling of 54615000 in words is "fifty-four million, six hundred fifteen thousand".