54020736 has 384 divisors, whose sum is σ = 209304000. Its totient is φ = 13547520.

The previous prime is 54020723. The next prime is 54020737. The reversal of 54020736 is 63702045.

54020736 = T₄₉ + T₅₀ + ... + T₆₈₆.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (54020737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1862770 + ... + 1862798.

Almost surely, 2^54020736 is an apocalyptic number.

54020736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54020736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104652000).

54020736 is an abundant number, since it is smaller than the sum of its proper divisors (155283264).

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

54020736 is a wasteful number, since it uses less digits than its factorization.

54020736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 54020736 is about 7349.8799990204. The cubic root of 54020736 is about 378.0246897453.

It can be divided in two parts, 54020 and 736, that added together give a square (54756 = 234²).

The spelling of 54020736 in words is "fifty-four million, twenty thousand, seven hundred thirty-six".