54962820 has 192 divisors, whose sum is σ = 196761600. Its totient is φ = 12597120.

The previous prime is 54962779. The next prime is 54962821. The reversal of 54962820 is 2826945.

It is a happy number.

54962820 is a `hidden beast` number, since 5 + 4 + 9 + 628 + 20 = 666.

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 (54962821) 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 63 ways as a sum of consecutive naturals, for example, 112617 + ... + 113103.

It is an arithmetic number, because the mean of its divisors is an integer number (1024800).

Almost surely, 2^54962820 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 54962820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98380800).

54962820 is an abundant number, since it is smaller than the sum of its proper divisors (141798780).

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

54962820 is a wasteful number, since it uses less digits than its factorization.

54962820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54962820 is about 7413.6913882357. The cubic root of 54962820 is about 380.2095335639.

It can be divided in two parts, 5 and 4962820, that added together give a triangular number (4962825 = T₃₁₅₀).

The spelling of 54962820 in words is "fifty-four million, nine hundred sixty-two thousand, eight hundred twenty".