90172080 has 240 divisors, whose sum is σ = 329041440. Its totient is φ = 22044672.

The previous prime is 90172067. The next prime is 90172123. The reversal of 90172080 is 8027109.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648651 + ... + 648789.

It is an arithmetic number, because the mean of its divisors is an integer number (1371006).

Almost surely, 2^90172080 is an apocalyptic number.

90172080 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 90172080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

90172080 is an abundant number, since it is smaller than the sum of its proper divisors (238869360).

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

90172080 is a wasteful number, since it uses less digits than its factorization.

90172080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 90172080 is about 9495.8980617949. The cubic root of 90172080 is about 448.4259076795.

Adding to 90172080 its reverse (8027109), we get a palindrome (98199189).

The spelling of 90172080 in words is "ninety million, one hundred seventy-two thousand, eighty".