54416064 has 84 divisors (see below), whose sum is σ = 149554184. Its totient is φ = 17461248.

The previous prime is 54416053. The next prime is 54416111. The reversal of 54416064 is 46061445.

It is a super-2 number, since 2×54416064² = 5922216042504192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161304 + ... + 161640.

Almost surely, 2^54416064 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 54416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74777092).

54416064 is an abundant number, since it is smaller than the sum of its proper divisors (95138120).

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

54416064 is a wasteful number, since it uses less digits than its factorization.

54416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 54416064 is about 7376.7244763513. The cubic root of 54416064 is about 378.9445875689.

The spelling of 54416064 in words is "fifty-four million, four hundred sixteen thousand, sixty-four".