96501600 has 216 divisors, whose sum is σ = 366820272. Its totient is φ = 23731200.

The previous prime is 96501593. The next prime is 96501607. The reversal of 96501600 is 610569.

96501600 is a `hidden beast` number, since 9 + 6 + 50 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (96501593) and next prime (96501607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96501607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93085 + ... + 94115.

It is an arithmetic number, because the mean of its divisors is an integer number (1698242).

Almost surely, 2^96501600 is an apocalyptic number.

96501600 is a gapful number since it is divisible by the number (90) 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 96501600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183410136).

96501600 is an abundant number, since it is smaller than the sum of its proper divisors (270318672).

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

96501600 is a wasteful number, since it uses less digits than its factorization.

96501600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 96501600 is about 9823.5227897125. The cubic root of 96501600 is about 458.6817963431.

The spelling of 96501600 in words is "ninety-six million, five hundred one thousand, six hundred".