96402600 has 216 divisors, whose sum is σ = 376954110. Its totient is φ = 22014720.

The previous prime is 96402589. The next prime is 96402611. The reversal of 96402600 is 620469.

It is an interprime number because it is at equal distance from previous prime (96402589) and next prime (96402611).

It can be written as a sum of positive squares in 3 ways, for example, as 92505924 + 3896676 = 9618^2 + 1974^2 .

It is a super-2 number, since 2×96402600² = 18586922573520000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 87654 + ... + 88746.

Almost surely, 2^96402600 is an apocalyptic number.

96402600 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 96402600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188477055).

96402600 is an abundant number, since it is smaller than the sum of its proper divisors (280551510).

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

96402600 is a wasteful number, since it uses less digits than its factorization.

96402600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 96402600 is about 9818.4825711512. The cubic root of 96402600 is about 458.5248903606.

The spelling of 96402600 in words is "ninety-six million, four hundred two thousand, six hundred".