96654090240 has 896 divisors, whose sum is σ = 374538971520. Its totient is φ = 23555211264.

The previous prime is 96654090217. The next prime is 96654090241. The reversal of 96654090240 is 4209045669.

96654090240 is a `hidden beast` number, since 9 + 66 + 540 + 9 + 0 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96654090241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 996433872 + ... + 996433968.

It is an arithmetic number, because the mean of its divisors is an integer number (418012245).

Almost surely, 2^96654090240 is an apocalyptic number.

96654090240 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 96654090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187269485760).

96654090240 is an abundant number, since it is smaller than the sum of its proper divisors (277884881280).

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

96654090240 is a wasteful number, since it uses less digits than its factorization.

96654090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 96654090240 in words is "ninety-six billion, six hundred fifty-four million, ninety thousand, two hundred forty".