96436920 has 128 divisors (see below), whose sum is σ = 314072640. Its totient is φ = 23592960.

The previous prime is 96436909. The next prime is 96436927. The reversal of 96436920 is 2963469.

96436920 = 316² + 317² + ... + 684².

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96436927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83064 + ... + 84216.

Almost surely, 2^96436920 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 96436920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157036320).

96436920 is an abundant number, since it is smaller than the sum of its proper divisors (217635720).

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

96436920 is a wasteful number, since it uses less digits than its factorization.

96436920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 96436920 is about 9820.2301398694. The cubic root of 96436920 is about 458.5792965943.

The spelling of 96436920 in words is "ninety-six million, four hundred thirty-six thousand, nine hundred twenty".