53784000 has 280 divisors, whose sum is σ = 201369168. Its totient is φ = 14169600.

The previous prime is 53783999. The next prime is 53784001. The reversal of 53784000 is 48735.

It is an interprime number because it is at equal distance from previous prime (53783999) and next prime (53784001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53784001) 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, 647959 + ... + 648041.

Almost surely, 2^53784000 is an apocalyptic number.

53784000 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 53784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100684584).

53784000 is an abundant number, since it is smaller than the sum of its proper divisors (147585168).

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

53784000 is an equidigital number, since it uses as much as digits as its factorization.

53784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 53784000 is about 7333.7575634868. The cubic root of 53784000 is about 377.4716730934.

The spelling of 53784000 in words is "fifty-three million, seven hundred eighty-four thousand".