54693800 has 72 divisors (see below), whose sum is σ = 147950910. Its totient is φ = 18748800.

The previous prime is 54693791. The next prime is 54693803. The reversal of 54693800 is 839645.

It can be written as a sum of positive squares in 3 ways, for example, as 35736484 + 18957316 = 5978^2 + 4354^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (54693803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7010 + ... + 12590.

Almost surely, 2^54693800 is an apocalyptic number.

54693800 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 54693800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73975455).

54693800 is an abundant number, since it is smaller than the sum of its proper divisors (93257110).

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

54693800 is a wasteful number, since it uses less digits than its factorization.

54693800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 54693800 is about 7395.5256743520. The cubic root of 54693800 is about 379.5881965519.

The spelling of 54693800 in words is "fifty-four million, six hundred ninety-three thousand, eight hundred".