54413664 has 48 divisors (see below), whose sum is σ = 144248832. Its totient is φ = 17958528.

The previous prime is 54413659. The next prime is 54413687. The reversal of 54413664 is 46631445.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×54413664³ (a number of 24 digits) contains 333 as substring.

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7137 + ... + 12639.

It is an arithmetic number, because the mean of its divisors is an integer number (3005184).

Almost surely, 2^54413664 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 54413664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72124416).

54413664 is an abundant number, since it is smaller than the sum of its proper divisors (89835168).

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

54413664 is a wasteful number, since it uses less digits than its factorization.

54413664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5619 (or 5611 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 54413664 is about 7376.5618007307. The cubic root of 54413664 is about 378.9390164176.

The spelling of 54413664 in words is "fifty-four million, four hundred thirteen thousand, six hundred sixty-four".