54364700 has 144 divisors (see below), whose sum is σ = 139991040. Its totient is φ = 18144000.

The previous prime is 54364693. The next prime is 54364703. The reversal of 54364700 is 746345.

54364700 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 (54364703) 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 47 ways as a sum of consecutive naturals, for example, 765665 + ... + 765735.

It is an arithmetic number, because the mean of its divisors is an integer number (972160).

Almost surely, 2^54364700 is an apocalyptic number.

54364700 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 54364700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

54364700 is an abundant number, since it is smaller than the sum of its proper divisors (85626340).

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

54364700 is a wasteful number, since it uses less digits than its factorization.

54364700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 54364700 is about 7373.2421633905. The cubic root of 54364700 is about 378.8253198643.

The spelling of 54364700 in words is "fifty-four million, three hundred sixty-four thousand, seven hundred".