96126240 has 288 divisors, whose sum is σ = 363351744. Its totient is φ = 21288960.

The previous prime is 96126221. The next prime is 96126241. The reversal of 96126240 is 4262169.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 96126198 and 96126207.

It is not an unprimeable number, because it can be changed into a prime (96126241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1434687 + ... + 1434753.

It is an arithmetic number, because the mean of its divisors is an integer number (1261638).

Almost surely, 2^96126240 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 96126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181675872).

96126240 is an abundant number, since it is smaller than the sum of its proper divisors (267225504).

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

96126240 is a wasteful number, since it uses less digits than its factorization.

96126240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 96126240 is about 9804.3990126881. The cubic root of 96126240 is about 458.0863156730.

The spelling of 96126240 in words is "ninety-six million, one hundred twenty-six thousand, two hundred forty".