96836544 has 252 divisors, whose sum is σ = 334268064. Its totient is φ = 26707968.

The previous prime is 96836479. The next prime is 96836549. The reversal of 96836544 is 44563869.

It is a tau number, because it is divible by the number of its divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 96836544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96836549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1326492 + ... + 1326564.

Almost surely, 2^96836544 is an apocalyptic number.

96836544 is a gapful number since it is divisible by the number (94) 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 96836544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167134032).

96836544 is an abundant number, since it is smaller than the sum of its proper divisors (237431520).

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

96836544 is a wasteful number, since it uses less digits than its factorization.

96836544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 96836544 is about 9840.5560818482. The cubic root of 96836544 is about 459.2118577148.

The spelling of 96836544 in words is "ninety-six million, eight hundred thirty-six thousand, five hundred forty-four".