39954816 has 128 divisors (see below), whose sum is σ = 128764800. Its totient is φ = 12096000.

The previous prime is 39954791. The next prime is 39954823. The reversal of 39954816 is 61845993.

It is a happy number.

39954816 is a `hidden beast` number, since 3 + 99 + 548 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37491 + ... + 38541.

It is an arithmetic number, because the mean of its divisors is an integer number (1005975).

Almost surely, 2^39954816 is an apocalyptic number.

39954816 is a gapful number since it is divisible by the number (36) 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 39954816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64382400).

39954816 is an abundant number, since it is smaller than the sum of its proper divisors (88809984).

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

39954816 is a wasteful number, since it uses less digits than its factorization.

39954816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1067 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 39954816 is about 6320.9822021581. The cubic root of 39954816 is about 341.8663682291.

The spelling of 39954816 in words is "thirty-nine million, nine hundred fifty-four thousand, eight hundred sixteen".