90078560 has 192 divisors, whose sum is σ = 260112384. Its totient is φ = 29030400.

The previous prime is 90078551. The next prime is 90078577. The reversal of 90078560 is 6587009.

It is a super-2 number, since 2×90078560² = 16228293943347200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90078560.

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, 709217 + ... + 709343.

It is an arithmetic number, because the mean of its divisors is an integer number (1354752).

Almost surely, 2^90078560 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 90078560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130056192).

90078560 is an abundant number, since it is smaller than the sum of its proper divisors (170033824).

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

90078560 is a wasteful number, since it uses less digits than its factorization.

90078560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 90078560 is about 9490.9725529052. The cubic root of 90078560 is about 448.2708290151.

The spelling of 90078560 in words is "ninety million, seventy-eight thousand, five hundred sixty".