99740160 has 400 divisors, whose sum is σ = 395115336. Its totient is φ = 23887872.

The previous prime is 99740159. The next prime is 99740171. The reversal of 99740160 is 6104799.

It can be written as a sum of positive squares in 4 ways, for example, as 82301184 + 17438976 = 9072^2 + 4176^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2695662 + ... + 2695698.

Almost surely, 2^99740160 is an apocalyptic number.

99740160 is a gapful number since it is divisible by the number (90) 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 99740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197557668).

99740160 is an abundant number, since it is smaller than the sum of its proper divisors (295375176).

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

99740160 is a wasteful number, since it uses less digits than its factorization.

99740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 99740160 is about 9986.9995494142. Note that the first 3 decimals coincide. The cubic root of 99740160 is about 463.7565111710.

The spelling of 99740160 in words is "ninety-nine million, seven hundred forty thousand, one hundred sixty".