90774 has 24 divisors (see below), whose sum is σ = 206760. Its totient is φ = 29520.

The previous prime is 90749. The next prime is 90787. The reversal of 90774 is 47709.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

90774 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2194 + ... + 2234.

It is an arithmetic number, because the mean of its divisors is an integer number (8615).

2⁹⁰⁷⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103380).

90774 is an abundant number, since it is smaller than the sum of its proper divisors (115986).

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

90774 is a wasteful number, since it uses less digits than its factorization.

90774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 90774 is about 301.2872383623. The cubic root of 90774 is about 44.9421478793.

The spelling of 90774 in words is "ninety thousand, seven hundred seventy-four".