54617920 has 112 divisors (see below), whose sum is σ = 152887680. Its totient is φ = 18192384.

The previous prime is 54617911. The next prime is 54617929. The reversal of 54617920 is 2971645.

It is an interprime number because it is at equal distance from previous prime (54617911) and next prime (54617929).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54617929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82551 + ... + 83209.

Almost surely, 2^54617920 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 54617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76443840).

54617920 is an abundant number, since it is smaller than the sum of its proper divisors (98269760).

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

54617920 is a wasteful number, since it uses less digits than its factorization.

54617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 54617920 is about 7390.3937648815. The cubic root of 54617920 is about 379.4125734602.

The spelling of 54617920 in words is "fifty-four million, six hundred seventeen thousand, nine hundred twenty".