90134880 has 192 divisors, whose sum is σ = 317737728. Its totient is φ = 21288960.

The previous prime is 90134819. The next prime is 90134897. The reversal of 90134880 is 8843109.

It is a super-2 number, since 2×90134880² = 16248593185228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226842 + ... + 227238.

It is an arithmetic number, because the mean of its divisors is an integer number (1654884).

Almost surely, 2^90134880 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 90134880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158868864).

90134880 is an abundant number, since it is smaller than the sum of its proper divisors (227602848).

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

90134880 is a wasteful number, since it uses less digits than its factorization.

90134880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 90134880 is about 9493.9391192487. The cubic root of 90134880 is about 448.3642339765.

Adding to 90134880 its reverse (8843109), we get a palindrome (98977989).

The spelling of 90134880 in words is "ninety million, one hundred thirty-four thousand, eight hundred eighty".