53654000 has 80 divisors (see below), whose sum is σ = 131345760. Its totient is φ = 21196800.

The previous prime is 53653993. The next prime is 53654017. The reversal of 53654000 is 45635.

53654000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 277904 + ... + 278096.

It is an arithmetic number, because the mean of its divisors is an integer number (1641822).

Almost surely, 2^53654000 is an apocalyptic number.

53654000 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 53654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65672880).

53654000 is an abundant number, since it is smaller than the sum of its proper divisors (77691760).

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

53654000 is a wasteful number, since it uses less digits than its factorization.

53654000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 53654000 is about 7324.8890776584. The cubic root of 53654000 is about 377.1673018613.

Adding to 53654000 its reverse (45635), we get a palindrome (53699635).

The spelling of 53654000 in words is "fifty-three million, six hundred fifty-four thousand".