54893700 has 144 divisors (see below), whose sum is σ = 179363520. Its totient is φ = 14580000.

The previous prime is 54893693. The next prime is 54893701. The reversal of 54893700 is 739845.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54893701) 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 47 ways as a sum of consecutive naturals, for example, 218575 + ... + 218825.

It is an arithmetic number, because the mean of its divisors is an integer number (1245580).

Almost surely, 2^54893700 is an apocalyptic number.

54893700 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 54893700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89681760).

54893700 is an abundant number, since it is smaller than the sum of its proper divisors (124469820).

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

54893700 is a wasteful number, since it uses less digits than its factorization.

54893700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 54893700 is about 7409.0282763666. The cubic root of 54893700 is about 380.0500857343.

The spelling of 54893700 in words is "fifty-four million, eight hundred ninety-three thousand, seven hundred".