54919680 has 80 divisors (see below), whose sum is σ = 175595904. Its totient is φ = 14643200.

The previous prime is 54919679. The next prime is 54919681. The reversal of 54919680 is 8691945.

It is an interprime number because it is at equal distance from previous prime (54919679) and next prime (54919681).

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

It is not an unprimeable number, because it can be changed into a prime (54919681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4105 + ... + 11255.

Almost surely, 2^54919680 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 54919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87797952).

54919680 is an abundant number, since it is smaller than the sum of its proper divisors (120676224).

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

54919680 is an equidigital number, since it uses as much as digits as its factorization.

54919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7177 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 54919680 is about 7410.7813353249. The cubic root of 54919680 is about 380.1100327711.

The spelling of 54919680 in words is "fifty-four million, nine hundred nineteen thousand, six hundred eighty".