96261600 has 144 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 24307200.

The previous prime is 96261589. The next prime is 96261611. The reversal of 96261600 is 616269.

It is an interprime number because it is at equal distance from previous prime (96261589) and next prime (96261611).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44545 + ... + 46655.

It is an arithmetic number, because the mean of its divisors is an integer number (2291520).

Almost surely, 2^96261600 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 96261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

96261600 is an abundant number, since it is smaller than the sum of its proper divisors (233717280).

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

96261600 is a wasteful number, since it uses less digits than its factorization.

96261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 96261600 is about 9811.2996081049. The cubic root of 96261600 is about 458.3012326462.

Adding to 96261600 its reverse (616269), we get a palindrome (96877869).

The spelling of 96261600 in words is "ninety-six million, two hundred sixty-one thousand, six hundred".