39954560 has 64 divisors (see below), whose sum is σ = 96353280. Its totient is φ = 15842304.

The previous prime is 39954553. The next prime is 39954569. The reversal of 39954560 is 6545993.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×39954560³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (39954569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104129 + ... + 104511.

It is an arithmetic number, because the mean of its divisors is an integer number (1505520).

Almost surely, 2^39954560 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 39954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48176640).

39954560 is an abundant number, since it is smaller than the sum of its proper divisors (56398720).

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

39954560 is a wasteful number, since it uses less digits than its factorization.

39954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 41.

The square root of 39954560 is about 6320.9619521082. The cubic root of 39954560 is about 341.8656380878.

The spelling of 39954560 in words is "thirty-nine million, nine hundred fifty-four thousand, five hundred sixty".