53940000 has 240 divisors, whose sum is σ = 188939520. Its totient is φ = 13440000.

The previous prime is 53939989. The next prime is 53940001. The reversal of 53940000 is 4935.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53940001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1739985 + ... + 1740015.

It is an arithmetic number, because the mean of its divisors is an integer number (787248).

Almost surely, 2^53940000 is an apocalyptic number.

53940000 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 53940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94469760).

53940000 is an abundant number, since it is smaller than the sum of its proper divisors (134999520).

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

53940000 is a wasteful number, since it uses less digits than its factorization.

53940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 53940000 is about 7344.3856107914. The cubic root of 53940000 is about 377.8362718601.

Adding to 53940000 its reverse (4935), we get a palindrome (53944935).

The spelling of 53940000 in words is "fifty-three million, nine hundred forty thousand".