54646000 has 80 divisors (see below), whose sum is σ = 134053920. Its totient is φ = 21542400.

The previous prime is 54645979. The next prime is 54646013. The reversal of 54646000 is 64645.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177847 + ... + 178153.

It is an arithmetic number, because the mean of its divisors is an integer number (1675674).

Almost surely, 2^54646000 is an apocalyptic number.

54646000 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 54646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67026960).

54646000 is an abundant number, since it is smaller than the sum of its proper divisors (79407920).

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

54646000 is a wasteful number, since it uses less digits than its factorization.

54646000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 54646000 is about 7392.2932842251. The cubic root of 54646000 is about 379.4775831359.

The spelling of 54646000 in words is "fifty-four million, six hundred forty-six thousand".