54261536 has 48 divisors (see below), whose sum is σ = 125407296. Its totient is φ = 22622976.

The previous prime is 54261527. The next prime is 54261539. The reversal of 54261536 is 63516245.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (54261539) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5015 + ... + 11561.

It is an arithmetic number, because the mean of its divisors is an integer number (2612652).

Almost surely, 2^54261536 is an apocalyptic number.

54261536 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 54261536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62703648).

54261536 is an abundant number, since it is smaller than the sum of its proper divisors (71145760).

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

54261536 is a wasteful number, since it uses less digits than its factorization.

54261536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601 (or 6593 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 54261536 is about 7366.2430044087. The cubic root of 54261536 is about 378.5855449007.

The spelling of 54261536 in words is "fifty-four million, two hundred sixty-one thousand, five hundred thirty-six".