54709536 has 96 divisors (see below), whose sum is σ = 173819520. Its totient is φ = 14708736.

The previous prime is 54709507. The next prime is 54709537. The reversal of 54709536 is 63590745.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 54709494 and 54709503.

It is not an unprimeable number, because it can be changed into a prime (54709537) 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, 9030 + ... + 13818.

It is an arithmetic number, because the mean of its divisors is an integer number (1810620).

Almost surely, 2^54709536 is an apocalyptic number.

54709536 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 54709536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86909760).

54709536 is an abundant number, since it is smaller than the sum of its proper divisors (119109984).

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

54709536 is a wasteful number, since it uses less digits than its factorization.

54709536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4826 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 54709536 is about 7396.5894843502. The cubic root of 54709536 is about 379.6245969428.

The spelling of 54709536 in words is "fifty-four million, seven hundred nine thousand, five hundred thirty-six".