96570000 has 300 divisors, whose sum is σ = 358807020. Its totient is φ = 24192000.

The previous prime is 96569983. The next prime is 96570017. The reversal of 96570000 is 7569.

96570000 is a `hidden beast` number, since 9 + 657 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96569983) and next prime (96570017).

It can be written as a sum of positive squares in 10 ways, for example, as 52533504 + 44036496 = 7248^2 + 6636^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2609982 + ... + 2610018.

Almost surely, 2^96570000 is an apocalyptic number.

96570000 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 96570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179403510).

96570000 is an abundant number, since it is smaller than the sum of its proper divisors (262237020).

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

96570000 is a wasteful number, since it uses less digits than its factorization.

96570000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 96570000 is about 9827.0036124955. The cubic root of 96570000 is about 458.7901414387.

Adding to 96570000 its reverse (7569), we get a palindrome (96577569).

The spelling of 96570000 in words is "ninety-six million, five hundred seventy thousand".