96390840 has 288 divisors, whose sum is σ = 368005680. Its totient is φ = 20127744.

The previous prime is 96390829. The next prime is 96390863. The reversal of 96390840 is 4809369.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 993672 + ... + 993768.

Almost surely, 2^96390840 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 96390840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184002840).

96390840 is an abundant number, since it is smaller than the sum of its proper divisors (271614840).

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

96390840 is a wasteful number, since it uses less digits than its factorization.

96390840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 96390840 is about 9817.8836823421. The cubic root of 96390840 is about 458.5062446948.

The spelling of 96390840 in words is "ninety-six million, three hundred ninety thousand, eight hundred forty".