54319680 has 112 divisors (see below), whose sum is σ = 191658240. Its totient is φ = 14482944.

The previous prime is 54319669. The next prime is 54319687. The reversal of 54319680 is 8691345.

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

It is not an unprimeable number, because it can be changed into a prime (54319687) 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, 5497 + ... + 11783.

Almost surely, 2^54319680 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 54319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95829120).

54319680 is an abundant number, since it is smaller than the sum of its proper divisors (137338560).

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

54319680 is a wasteful number, since it uses less digits than its factorization.

54319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6313 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 54319680 is about 7370.1886000292. The cubic root of 54319680 is about 378.7207211952.

The spelling of 54319680 in words is "fifty-four million, three hundred nineteen thousand, six hundred eighty".