90678 has 32 divisors (see below), whose sum is σ = 221184. Its totient is φ = 24192.

The previous prime is 90677. The next prime is 90679. The reversal of 90678 is 87609.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90677) and next prime (90679).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651 + ... + 777.

It is an arithmetic number, because the mean of its divisors is an integer number (6912).

2⁹⁰⁶⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110592).

90678 is an abundant number, since it is smaller than the sum of its proper divisors (130506).

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

90678 is a wasteful number, since it uses less digits than its factorization.

90678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 90678 is about 301.1278798119. The cubic root of 90678 is about 44.9262991119.

The spelling of 90678 in words is "ninety thousand, six hundred seventy-eight".