96468900 has 288 divisors, whose sum is σ = 335978496. Its totient is φ = 21120000.

The previous prime is 96468893. The next prime is 96468901. The reversal of 96468900 is 986469.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96468901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2352880 + ... + 2352920.

It is an arithmetic number, because the mean of its divisors is an integer number (1166592).

Almost surely, 2^96468900 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 96468900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167989248).

96468900 is an abundant number, since it is smaller than the sum of its proper divisors (239509596).

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

96468900 is a wasteful number, since it uses less digits than its factorization.

96468900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 96468900 is about 9821.8582763141. The cubic root of 96468900 is about 458.6299816954.

It can be divided in two parts, 96 and 468900, that added together give a triangular number (468996 = T₉₆₈).

The spelling of 96468900 in words is "ninety-six million, four hundred sixty-eight thousand, nine hundred".