54782688 has 96 divisors (see below), whose sum is σ = 153812736. Its totient is φ = 17031168.

The previous prime is 54782671. The next prime is 54782723. The reversal of 54782688 is 88628745.

54782688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×54782688² = 6002285809010688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94656 + ... + 95232.

It is an arithmetic number, because the mean of its divisors is an integer number (1602216).

Almost surely, 2^54782688 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 54782688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76906368).

54782688 is an abundant number, since it is smaller than the sum of its proper divisors (99030048).

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

54782688 is a wasteful number, since it uses less digits than its factorization.

54782688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 54782688 is about 7401.5328142217. The cubic root of 54782688 is about 379.7937199911.

The spelling of 54782688 in words is "fifty-four million, seven hundred eighty-two thousand, six hundred eighty-eight".