39054960 has 360 divisors, whose sum is σ = 162083376. Its totient is φ = 8709120.

The previous prime is 39054949. The next prime is 39054997. The reversal of 39054960 is 6945093.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 952540 + ... + 952580.

Almost surely, 2^39054960 is an apocalyptic number.

39054960 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 39054960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81041688).

39054960 is an abundant number, since it is smaller than the sum of its proper divisors (123028416).

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

39054960 is a wasteful number, since it uses less digits than its factorization.

39054960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 39054960 is about 6249.3967708892. The cubic root of 39054960 is about 339.2803695135.

The spelling of 39054960 in words is "thirty-nine million, fifty-four thousand, nine hundred sixty".