90781632 has 168 divisors, whose sum is σ = 281488896. Its totient is φ = 27869184.

The previous prime is 90781627. The next prime is 90781637. The reversal of 90781632 is 23618709.

It is an interprime number because it is at equal distance from previous prime (90781627) and next prime (90781637).

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90781637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714753 + ... + 714879.

Almost surely, 2^90781632 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 90781632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140744448).

90781632 is an abundant number, since it is smaller than the sum of its proper divisors (190707264).

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

90781632 is a wasteful number, since it uses less digits than its factorization.

90781632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 90781632 is about 9527.9395464077. The cubic root of 90781632 is about 449.4340737669.

The spelling of 90781632 in words is "ninety million, seven hundred eighty-one thousand, six hundred thirty-two".