96059040 has 384 divisors, whose sum is σ = 397135872. Its totient is φ = 18923520.

The previous prime is 96058999. The next prime is 96059069. The reversal of 96059040 is 4095069.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

96059040 is a modest number, since divided by 59040 gives 960 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 96058992 and 96059010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 850024 + ... + 850136.

It is an arithmetic number, because the mean of its divisors is an integer number (1034208).

Almost surely, 2^96059040 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 96059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198567936).

96059040 is an abundant number, since it is smaller than the sum of its proper divisors (301076832).

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

96059040 is a wasteful number, since it uses less digits than its factorization.

96059040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 96059040 is about 9800.9713804296. The cubic root of 96059040 is about 457.9795443531.

The spelling of 96059040 in words is "ninety-six million, fifty-nine thousand, forty".