96040 has 40 divisors (see below), whose sum is σ = 252090. Its totient is φ = 32928.

The previous prime is 96017. The next prime is 96043. The reversal of 96040 is 4069.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 86436 + 9604 = 294^2 + 98^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 95999 and 96017.

It is not an unprimeable number, because it can be changed into a prime (96043) by changing a digit.

96040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13717 + ... + 13723.

2^{96040} 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 96040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126045).

96040 is an abundant number, since it is smaller than the sum of its proper divisors (156050).

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

96040 is an equidigital number, since it uses as much as digits as its factorization.

96040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 96040 is about 309.9032106965. The cubic root of 96040 is about 45.7949283426.

It can be divided in two parts, 960 and 40, that added together give a cube (1000 = 10^{3}).

The spelling of 96040 in words is "ninety-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2401 2744 3430 4802 6860 9604 12005 13720 19208 24010 48020 96040

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