99724464 has 240 divisors, whose sum is σ = 346644480. Its totient is φ = 26127360.

The previous prime is 99724463. The next prime is 99724501. The reversal of 99724464 is 46442799.

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 (99724463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 785169 + ... + 785295.

It is an arithmetic number, because the mean of its divisors is an integer number (1444352).

Almost surely, 2^99724464 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 99724464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173322240).

99724464 is an abundant number, since it is smaller than the sum of its proper divisors (246920016).

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

99724464 is a wasteful number, since it uses less digits than its factorization.

99724464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 199 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 99724464 is about 9986.2136968923. The cubic root of 99724464 is about 463.7321829429.

The spelling of 99724464 in words is "ninety-nine million, seven hundred twenty-four thousand, four hundred sixty-four".