90873664 has 56 divisors (see below), whose sum is σ = 207353408. Its totient is φ = 38707200.

The previous prime is 90873661. The next prime is 90873677. The reversal of 90873664 is 46637809.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 90873664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90873661) 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 7 ways as a sum of consecutive naturals, for example, 85939 + ... + 86989.

Almost surely, 2^90873664 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 90873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103676704).

90873664 is an abundant number, since it is smaller than the sum of its proper divisors (116479744).

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

90873664 is a wasteful number, since it uses less digits than its factorization.

90873664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 90873664 is about 9532.7679086402. The cubic root of 90873664 is about 449.5858972371.

The spelling of 90873664 in words is "ninety million, eight hundred seventy-three thousand, six hundred sixty-four".