90141480 has 384 divisors, whose sum is σ = 367960320. Its totient is φ = 18800640.

The previous prime is 90141461. The next prime is 90141517. The reversal of 90141480 is 8414109.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 875109 + ... + 875211.

It is an arithmetic number, because the mean of its divisors is an integer number (958230).

Almost surely, 2^90141480 is an apocalyptic number.

90141480 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 90141480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183980160).

90141480 is an abundant number, since it is smaller than the sum of its proper divisors (277818840).

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

90141480 is a wasteful number, since it uses less digits than its factorization.

90141480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 90141480 is about 9494.2867030652. The cubic root of 90141480 is about 448.3751773232.

Adding to 90141480 its reverse (8414109), we get a palindrome (98555589).

The spelling of 90141480 in words is "ninety million, one hundred forty-one thousand, four hundred eighty".