99477600 has 144 divisors (see below), whose sum is σ = 327010320. Its totient is φ = 26265600.

The previous prime is 99477593. The next prime is 99477607. The reversal of 99477600 is 677499.

It is an interprime number because it is at equal distance from previous prime (99477593) and next prime (99477607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99477607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434286 + ... + 434514.

It is an arithmetic number, because the mean of its divisors is an integer number (2270905).

Almost surely, 2^99477600 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 99477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163505160).

99477600 is an abundant number, since it is smaller than the sum of its proper divisors (227532720).

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

99477600 is a wasteful number, since it uses less digits than its factorization.

99477600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 99477600 is about 9973.8457978856. The cubic root of 99477600 is about 463.3492164848.

The spelling of 99477600 in words is "ninety-nine million, four hundred seventy-seven thousand, six hundred".