96342480 has 320 divisors, whose sum is σ = 369976320. Its totient is φ = 22892544.

The previous prime is 96342473. The next prime is 96342481. The reversal of 96342480 is 8424369.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96342481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1319724 + ... + 1319796.

It is an arithmetic number, because the mean of its divisors is an integer number (1156176).

Almost surely, 2^96342480 is an apocalyptic number.

96342480 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 96342480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184988160).

96342480 is an abundant number, since it is smaller than the sum of its proper divisors (273633840).

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

96342480 is a wasteful number, since it uses less digits than its factorization.

96342480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 96342480 is about 9815.4205207928. The cubic root of 96342480 is about 458.4295532055.

The spelling of 96342480 in words is "ninety-six million, three hundred forty-two thousand, four hundred eighty".