96468750 has 168 divisors, whose sum is σ = 304683600. Its totient is φ = 22050000.

The previous prime is 96468707. The next prime is 96468751. The reversal of 96468750 is 5786469.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 96468696 and 96468705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96468751) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 13781247 + ... + 13781253.

Almost surely, 2^96468750 is an apocalyptic number.

96468750 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96468750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152341800).

96468750 is an abundant number, since it is smaller than the sum of its proper divisors (208214850).

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

96468750 is an frugal number, since it uses more digits than its factorization.

96468750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 96468750 is about 9821.8506402816. The cubic root of 96468750 is about 458.6297439866.

The spelling of 96468750 in words is "ninety-six million, four hundred sixty-eight thousand, seven hundred fifty".