54196560 has 160 divisors (see below), whose sum is σ = 203736960. Its totient is φ = 13132800.

The previous prime is 54196537. The next prime is 54196567. The reversal of 54196560 is 6569145.

54196560 is a `hidden beast` number, since 5 + 4 + 1 + 96 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54196567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22620 + ... + 24900.

It is an arithmetic number, because the mean of its divisors is an integer number (1273356).

Almost surely, 2^54196560 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 54196560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101868480).

54196560 is an abundant number, since it is smaller than the sum of its proper divisors (149540400).

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

54196560 is a wasteful number, since it uses less digits than its factorization.

54196560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 54196560 is about 7361.8312939105. The cubic root of 54196560 is about 378.4343709048.

It can be divided in two parts, 54196 and 560, that added together give a square (54756 = 234²).

The spelling of 54196560 in words is "fifty-four million, one hundred ninety-six thousand, five hundred sixty".