96492240 has 240 divisors, whose sum is σ = 356800080. Its totient is φ = 23362560.

The previous prime is 96492239. The next prime is 96492257. The reversal of 96492240 is 4229469.

96492240 is a `hidden beast` number, since 9 + 649 + 2 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 91929744 + 4562496 = 9588^2 + 2136^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 96492195 and 96492204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1581810 + ... + 1581870.

It is an arithmetic number, because the mean of its divisors is an integer number (1486667).

Almost surely, 2^96492240 is an apocalyptic number.

96492240 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 96492240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178400040).

96492240 is an abundant number, since it is smaller than the sum of its proper divisors (260307840).

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

96492240 is a wasteful number, since it uses less digits than its factorization.

96492240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 96492240 is about 9823.0463706530. The cubic root of 96492240 is about 458.6669661902. Note that the first 3 decimals are identical.

The spelling of 96492240 in words is "ninety-six million, four hundred ninety-two thousand, two hundred forty".