54087312 has 80 divisors (see below), whose sum is σ = 145768448. Its totient is φ = 17262720.

The previous prime is 54087311. The next prime is 54087317. The reversal of 54087312 is 21378045.

It is a self number, because there is not a number n which added to its sum of digits gives 54087312.

It is not an unprimeable number, because it can be changed into a prime (54087311) 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, 242433 + ... + 242655.

Almost surely, 2^54087312 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 54087312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72884224).

54087312 is an abundant number, since it is smaller than the sum of its proper divisors (91681136).

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

54087312 is a wasteful number, since it uses less digits than its factorization.

54087312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 54087312 is about 7354.4076579967. The cubic root of 54087312 is about 378.1799205067.

It can be divided in two parts, 5408 and 7312, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 54087312 in words is "fifty-four million, eighty-seven thousand, three hundred twelve".