54295920 has 420 divisors, whose sum is σ = 231759720. Its totient is φ = 11757312.

The previous prime is 54295897. The next prime is 54295921. The reversal of 54295920 is 2959245.

It is a happy number.

54295920 is a `hidden beast` number, since 542 + 95 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54295921) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2857671 + ... + 2857689.

Almost surely, 2^54295920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54295920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115879860).

54295920 is an abundant number, since it is smaller than the sum of its proper divisors (177463800).

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

54295920 is a wasteful number, since it uses less digits than its factorization.

54295920 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 32400, while the sum is 36.

The square root of 54295920 is about 7368.5765246756. The cubic root of 54295920 is about 378.6654943317.

The spelling of 54295920 in words is "fifty-four million, two hundred ninety-five thousand, nine hundred twenty".