54106080 has 96 divisors (see below), whose sum is σ = 194793984. Its totient is φ = 12366336.

The previous prime is 54106079. The next prime is 54106081. The reversal of 54106080 is 8060145.

It is an interprime number because it is at equal distance from previous prime (54106079) and next prime (54106081).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 54106080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54106081) 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, 4692 + ... + 11411.

It is an arithmetic number, because the mean of its divisors is an integer number (2029104).

Almost surely, 2^54106080 is an apocalyptic number.

It is an amenable number.

54106080 is an abundant number, since it is smaller than the sum of its proper divisors (140687904).

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

54106080 is a wasteful number, since it uses less digits than its factorization.

54106080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16128 (or 16120 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 54106080 is about 7355.6835168460. The cubic root of 54106080 is about 378.2236575662.

The spelling of 54106080 in words is "fifty-four million, one hundred six thousand, eighty".