39954960 has 120 divisors (see below), whose sum is σ = 135330624. Its totient is φ = 10563840.

The previous prime is 39954919. The next prime is 39954983. The reversal of 39954960 is 6945993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151789 + ... + 152051.

Almost surely, 2^39954960 is an apocalyptic number.

39954960 is a gapful number since it is divisible by the number (30) 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 39954960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67665312).

39954960 is an abundant number, since it is smaller than the sum of its proper divisors (95375664).

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

39954960 is a wasteful number, since it uses less digits than its factorization.

39954960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 39954960 is about 6320.9935927827. The cubic root of 39954960 is about 341.8667789322.

The spelling of 39954960 in words is "thirty-nine million, nine hundred fifty-four thousand, nine hundred sixty".