99962496 has 96 divisors (see below), whose sum is σ = 302858400. Its totient is φ = 31560192.

The previous prime is 99962491. The next prime is 99962519. The reversal of 99962496 is 69426999.

99962496 is a `hidden beast` number, since 9 + 9 + 9 + 624 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (99962491) 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 11 ways as a sum of consecutive naturals, for example, 19605 + ... + 24171.

It is an arithmetic number, because the mean of its divisors is an integer number (3154775).

Almost surely, 2^99962496 is an apocalyptic number.

99962496 is a gapful number since it is divisible by the number (96) 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 99962496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151429200).

99962496 is an abundant number, since it is smaller than the sum of its proper divisors (202895904).

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

99962496 is a wasteful number, since it uses less digits than its factorization.

99962496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 4591 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 99962496 is about 9998.1246241483. The cubic root of 99962496 is about 464.1008500565.

The spelling of 99962496 in words is "ninety-nine million, nine hundred sixty-two thousand, four hundred ninety-six".