96786240 has 112 divisors (see below), whose sum is σ = 314919360. Its totient is φ = 25169920.

The previous prime is 96786233. The next prime is 96786251. The reversal of 96786240 is 4268769.

96786240 = T₁₉₈ + T₁₉₉ + ... + T₈₃₇.

It is a junction number, because it is equal to n+sod(n) for n = 96786192 and 96786201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38131 + ... + 40589.

It is an arithmetic number, because the mean of its divisors is an integer number (2811780).

Almost surely, 2^96786240 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 96786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157459680).

96786240 is an abundant number, since it is smaller than the sum of its proper divisors (218133120).

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

96786240 is a wasteful number, since it uses less digits than its factorization.

96786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 96786240 is about 9837.9997967066. Note that the first 3 decimals coincide. The cubic root of 96786240 is about 459.1323278408.

The spelling of 96786240 in words is "ninety-six million, seven hundred eighty-six thousand, two hundred forty".