54601560 has 128 divisors (see below), whose sum is σ = 196056000. Its totient is φ = 13436928.

The previous prime is 54601559. The next prime is 54601567. The reversal of 54601560 is 6510645.

It is a happy number.

54601560 is a `hidden beast` number, since 5 + 4 + 601 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54601567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12096 + ... + 15984.

Almost surely, 2^54601560 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 54601560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98028000).

54601560 is an abundant number, since it is smaller than the sum of its proper divisors (141454440).

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

54601560 is a wasteful number, since it uses less digits than its factorization.

54601560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 54601560 is about 7389.2868397431. The cubic root of 54601560 is about 379.3746871794.

The spelling of 54601560 in words is "fifty-four million, six hundred one thousand, five hundred sixty".