54736416 has 144 divisors (see below), whose sum is σ = 187387200. Its totient is φ = 14805504.

The previous prime is 54736411. The next prime is 54736433. The reversal of 54736416 is 61463745.

It is a happy number.

54736416 is a `hidden beast` number, since 5 + 4 + 7 + 3 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54736411) 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, 37590 + ... + 39018.

It is an arithmetic number, because the mean of its divisors is an integer number (1301300).

Almost surely, 2^54736416 is an apocalyptic number.

54736416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54736416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93693600).

54736416 is an abundant number, since it is smaller than the sum of its proper divisors (132650784).

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

54736416 is a wasteful number, since it uses less digits than its factorization.

54736416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1460 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 54736416 is about 7398.4063148762. The cubic root of 54736416 is about 379.6867594051.

It can be divided in two parts, 547 and 36416, that added together give a palindrome (36963).

The spelling of 54736416 in words is "fifty-four million, seven hundred thirty-six thousand, four hundred sixteen".