90370080 has 240 divisors, whose sum is σ = 336631680. Its totient is φ = 22768128.

The previous prime is 90370057. The next prime is 90370117. The reversal of 90370080 is 8007309.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246057 + ... + 246423.

It is an arithmetic number, because the mean of its divisors is an integer number (1402632).

Almost surely, 2^90370080 is an apocalyptic number.

90370080 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 90370080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168315840).

90370080 is an abundant number, since it is smaller than the sum of its proper divisors (246261600).

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

90370080 is a wasteful number, since it uses less digits than its factorization.

90370080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 90370080 is about 9506.3178991658. The cubic root of 90370080 is about 448.7538858507.

Adding to 90370080 its reverse (8007309), we get a palindrome (98377389).

The spelling of 90370080 in words is "ninety million, three hundred seventy thousand, eighty".