96309480 has 128 divisors (see below), whose sum is σ = 310262400. Its totient is φ = 23841792.

The previous prime is 96309469. The next prime is 96309491. The reversal of 96309480 is 8490369.

It is an interprime number because it is at equal distance from previous prime (96309469) and next prime (96309491).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120442 + ... + 121238.

It is an arithmetic number, because the mean of its divisors is an integer number (2423925).

Almost surely, 2^96309480 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 96309480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155131200).

96309480 is an abundant number, since it is smaller than the sum of its proper divisors (213952920).

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

96309480 is a wasteful number, since it uses less digits than its factorization.

96309480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 96309480 is about 9813.7393484849. The cubic root of 96309480 is about 458.3772055708.

It can be divided in two parts, 9630 and 9480, that added together give a triangular number (19110 = T₁₉₅).

The spelling of 96309480 in words is "ninety-six million, three hundred nine thousand, four hundred eighty".