54936720 has 120 divisors (see below), whose sum is σ = 189097272. Its totient is φ = 14284800.

The previous prime is 54936697. The next prime is 54936727. The reversal of 54936720 is 2763945.

It can be written as a sum of positive squares in 4 ways, for example, as 5992704 + 48944016 = 2448^2 + 6996^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (54936727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28590 + ... + 30450.

Almost surely, 2^54936720 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 54936720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94548636).

54936720 is an abundant number, since it is smaller than the sum of its proper divisors (134160552).

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

54936720 is a wasteful number, since it uses less digits than its factorization.

54936720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 54936720 is about 7411.9309225060. The cubic root of 54936720 is about 380.1493411161.

The spelling of 54936720 in words is "fifty-four million, nine hundred thirty-six thousand, seven hundred twenty".