54849960 has 288 divisors, whose sum is σ = 212565600. Its totient is φ = 12597120.

The previous prime is 54849959. The next prime is 54849961. The reversal of 54849960 is 6994845.

It is a happy number.

54849960 is a `hidden beast` number, since 548 + 49 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (54849959) and next prime (54849961).

It is a super-2 number, since 2×54849960² = 6017036224003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (54849961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2886831 + ... + 2886849.

It is an arithmetic number, because the mean of its divisors is an integer number (738075).

Almost surely, 2^54849960 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 54849960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106282800).

54849960 is an abundant number, since it is smaller than the sum of its proper divisors (157715640).

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

54849960 is a wasteful number, since it uses less digits than its factorization.

54849960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 54849960 is about 7406.0758840293. The cubic root of 54849960 is about 379.9491159937.

The spelling of 54849960 in words is "fifty-four million, eight hundred forty-nine thousand, nine hundred sixty".