90141324 has 192 divisors, whose sum is σ = 280283136. Its totient is φ = 21897216.

The previous prime is 90141323. The next prime is 90141341. The reversal of 90141324 is 42314109.

It is a junction number, because it is equal to n+sod(n) for n = 90141294 and 90141303.

It is not an unprimeable number, because it can be changed into a prime (90141323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 929244 + ... + 929340.

It is an arithmetic number, because the mean of its divisors is an integer number (1459808).

Almost surely, 2^90141324 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 90141324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140141568).

90141324 is an abundant number, since it is smaller than the sum of its proper divisors (190141812).

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

90141324 is a wasteful number, since it uses less digits than its factorization.

90141324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 90141324 is about 9494.2784875945. The cubic root of 90141324 is about 448.3749186684.

The spelling of 90141324 in words is "ninety million, one hundred forty-one thousand, three hundred twenty-four".