96609240 has 256 divisors, whose sum is σ = 396748800. Its totient is φ = 20362752.

The previous prime is 96609239. The next prime is 96609251. The reversal of 96609240 is 4290669.

96609240 is a `hidden beast` number, since 9 + 6 + 609 + 2 + 40 = 666.

It is a Cunningham number, because it is equal to 9829²-1.

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

It is a junction number, because it is equal to n+sod(n) for n = 96609195 and 96609204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97789 + ... + 98771.

It is an arithmetic number, because the mean of its divisors is an integer number (1549800).

Almost surely, 2^96609240 is an apocalyptic number.

96609240 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 96609240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198374400).

96609240 is an abundant number, since it is smaller than the sum of its proper divisors (300139560).

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

96609240 is a wasteful number, since it uses less digits than its factorization.

96609240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 96609240 is about 9828.9999491301. Note that the first 4 decimals coincide. The cubic root of 96609240 is about 458.8522742172.

The spelling of 96609240 in words is "ninety-six million, six hundred nine thousand, two hundred forty".