54782964 has 72 divisors (see below), whose sum is σ = 146065920. Its totient is φ = 17278272.

The previous prime is 54782963. The next prime is 54782969. The reversal of 54782964 is 46928745.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54782963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89949 + ... + 90555.

Almost surely, 2^54782964 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 54782964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73032960).

54782964 is an abundant number, since it is smaller than the sum of its proper divisors (91282956).

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

54782964 is a wasteful number, since it uses less digits than its factorization.

54782964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 744 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 54782964 is about 7401.5514589848. The cubic root of 54782964 is about 379.7943578014.

It can be divided in two parts, 5 and 4782964, that added together give a 14-th power (4782969 = 3¹⁴).

The spelling of 54782964 in words is "fifty-four million, seven hundred eighty-two thousand, nine hundred sixty-four".