90814080 has 256 divisors, whose sum is σ = 343699200. Its totient is φ = 19955712.

The previous prime is 90814079. The next prime is 90814081. The reversal of 90814080 is 8041809.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90814079) and next prime (90814081).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90814081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389644 + ... + 389876.

It is an arithmetic number, because the mean of its divisors is an integer number (1342575).

Almost surely, 2^90814080 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 90814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

90814080 is an abundant number, since it is smaller than the sum of its proper divisors (252885120).

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

90814080 is a wasteful number, since it uses less digits than its factorization.

90814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 90814080 is about 9529.6421758637. The cubic root of 90814080 is about 449.4876143321.

Adding to 90814080 its reverse (8041809), we get a palindrome (98855889).

The spelling of 90814080 in words is "ninety million, eight hundred fourteen thousand, eighty".