96145632 has 216 divisors, whose sum is σ = 313709760. Its totient is φ = 27878400.

The previous prime is 96145613. The next prime is 96145649. The reversal of 96145632 is 23654169.

It is a happy number.

96145632 is a `hidden beast` number, since 9 + 6 + 14 + 5 + 632 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1080244 + ... + 1080332.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^96145632 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 96145632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

96145632 is an abundant number, since it is smaller than the sum of its proper divisors (217564128).

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

96145632 is a wasteful number, since it uses less digits than its factorization.

96145632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 96145632 is about 9805.3879066562. The cubic root of 96145632 is about 458.1171175732.

The spelling of 96145632 in words is "ninety-six million, one hundred forty-five thousand, six hundred thirty-two".