54106360 has 96 divisors (see below), whose sum is σ = 153024480. Its totient is φ = 16853760.

The previous prime is 54106333. The next prime is 54106379. The reversal of 54106360 is 6360145.

54106360 = 18² + 19² + ... + 545².

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33082 + ... + 34678.

It is an arithmetic number, because the mean of its divisors is an integer number (1594005).

Almost surely, 2^54106360 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 54106360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76512240).

54106360 is an abundant number, since it is smaller than the sum of its proper divisors (98918120).

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

54106360 is a wasteful number, since it uses less digits than its factorization.

54106360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 54106360 is about 7355.7025497229. The cubic root of 54106360 is about 378.2243100033.

The spelling of 54106360 in words is "fifty-four million, one hundred six thousand, three hundred sixty".