54966020 has 48 divisors (see below), whose sum is σ = 120763440. Its totient is φ = 20987904.

The previous prime is 54966019. The next prime is 54966029. The reversal of 54966020 is 2066945.

It can be written as a sum of positive squares in 8 ways, for example, as 1763584 + 53202436 = 1328^2 + 7294^2 .

It is not an unprimeable number, because it can be changed into a prime (54966029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55772 + ... + 56748.

It is an arithmetic number, because the mean of its divisors is an integer number (2515905).

Almost surely, 2^54966020 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 54966020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60381720).

54966020 is an abundant number, since it is smaller than the sum of its proper divisors (65797420).

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

54966020 is a wasteful number, since it uses less digits than its factorization.

54966020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 54966020 is about 7413.9072020089. The cubic root of 54966020 is about 380.2169121694.

The spelling of 54966020 in words is "fifty-four million, nine hundred sixty-six thousand, twenty".