99145620 has 180 divisors, whose sum is σ = 362092500. Its totient is φ = 22643712.

The previous prime is 99145603. The next prime is 99145639. The reversal of 99145620 is 2654199.

99145620 is a `hidden beast` number, since 9 + 91 + 4 + 562 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38118276 + 61027344 = 6174^2 + 7812^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 59 ways as a sum of consecutive naturals, for example, 78756 + ... + 80004.

It is an arithmetic number, because the mean of its divisors is an integer number (2011625).

Almost surely, 2^99145620 is an apocalyptic number.

99145620 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 99145620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181046250).

99145620 is an abundant number, since it is smaller than the sum of its proper divisors (262946880).

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

99145620 is a wasteful number, since it uses less digits than its factorization.

99145620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 99145620 is about 9957.1893624657. The cubic root of 99145620 is about 462.8332071691.

The spelling of 99145620 in words is "ninety-nine million, one hundred forty-five thousand, six hundred twenty".