96059600 has 270 divisors, whose sum is σ = 300725730. Its totient is φ = 29352960.

The previous prime is 96059599. The next prime is 96059603. The reversal of 96059600 is 695069.

It is a Cunningham number, because it is equal to 99⁴-1.

It can be written as a sum of positive squares in 9 ways, for example, as 60155536 + 35904064 = 7756^2 + 5992^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a nialpdrome in base 14.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96059603) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3312386 + ... + 3312414.

It is an arithmetic number, because the mean of its divisors is an integer number (1113799).

Almost surely, 2^96059600 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 96059600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150362865).

96059600 is an abundant number, since it is smaller than the sum of its proper divisors (204666130).

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

96059600 is a wasteful number, since it uses less digits than its factorization.

96059600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 96059600 is about 9800.9999489848. Note that the first 4 decimals coincide. The cubic root of 96059600 is about 457.9804343199.

The spelling of 96059600 in words is "ninety-six million, fifty-nine thousand, six hundred".