90196560 has 120 divisors (see below), whose sum is σ = 320771880. Its totient is φ = 22634496.

The previous prime is 90196549. The next prime is 90196573. The reversal of 90196560 is 6569109.

90196560 is a `hidden beast` number, since 9 + 0 + 1 + 96 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39388176 + 50808384 = 6276^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8556 + ... + 15924.

It is an arithmetic number, because the mean of its divisors is an integer number (2673099).

Almost surely, 2^90196560 is an apocalyptic number.

90196560 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 90196560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160385940).

90196560 is an abundant number, since it is smaller than the sum of its proper divisors (230575320).

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

90196560 is a wasteful number, since it uses less digits than its factorization.

90196560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7405 (or 7396 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 90196560 is about 9497.1869519348. The cubic root of 90196560 is about 448.4664837017.

It can be divided in two parts, 901 and 96560, that added together give a triangular number (97461 = T₄₄₁).

The spelling of 90196560 in words is "ninety million, one hundred ninety-six thousand, five hundred sixty".