96906240 has 176 divisors, whose sum is σ = 344878560. Its totient is φ = 25804800.

The previous prime is 96906223. The next prime is 96906241. The reversal of 96906240 is 4260969.

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 = 96906195 and 96906204.

It is not an unprimeable number, because it can be changed into a prime (96906241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137890 + ... + 138590.

Almost surely, 2^96906240 is an apocalyptic number.

96906240 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 96906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172439280).

96906240 is an abundant number, since it is smaller than the sum of its proper divisors (247972320).

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

96906240 is a wasteful number, since it uses less digits than its factorization.

96906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 711 counting only the distinct ones).

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

The square root of 96906240 is about 9844.0967081800. The cubic root of 96906240 is about 459.3220005494.

The spelling of 96906240 in words is "ninety-six million, nine hundred six thousand, two hundred forty".