54040336 has 80 divisors (see below), whose sum is σ = 125488000. Its totient is φ = 22522752.

The previous prime is 54040319. The next prime is 54040361. The reversal of 54040336 is 63304045.

54040336 = T₁ + T₂ + ... + T₆₈₆.

54040336 is a nontrivial binomial coefficient, being equal to C(688, 3).

It is a self number, because there is not a number n which added to its sum of digits gives 54040336.

It is an unprimeable number.

It is the 686-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235870 + ... + 236098.

It is an arithmetic number, because the mean of its divisors is an integer number (1568600).

Almost surely, 2^54040336 is an apocalyptic number.

54040336 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 54040336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62744000).

54040336 is an abundant number, since it is smaller than the sum of its proper divisors (71447664).

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

54040336 is a wasteful number, since it uses less digits than its factorization.

54040336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 54040336 is about 7351.2132332017. The cubic root of 54040336 is about 378.0704029816.

The spelling of 54040336 in words is "fifty-four million, forty thousand, three hundred thirty-six".