53865000 has 400 divisors, whose sum is σ = 226802400. Its totient is φ = 11664000.

The previous prime is 53864999. The next prime is 53865023. The reversal of 53865000 is 56835.

53865000 is a `hidden beast` number, since 5 + 3 + 8 + 650 + 0 + 0 = 666.

53865000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 99 ways as a sum of consecutive naturals, for example, 2834991 + ... + 2835009.

It is an arithmetic number, because the mean of its divisors is an integer number (567006).

Almost surely, 2^53865000 is an apocalyptic number.

53865000 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 53865000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113401200).

53865000 is an abundant number, since it is smaller than the sum of its proper divisors (172937400).

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

53865000 is a wasteful number, since it uses less digits than its factorization.

53865000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 53865000 is about 7339.2778936350. The cubic root of 53865000 is about 377.6610718573.

The spelling of 53865000 in words is "fifty-three million, eight hundred sixty-five thousand".