90646000 has 80 divisors (see below), whose sum is σ = 223075008. Its totient is φ = 35616000.

The previous prime is 90645949. The next prime is 90646009. The reversal of 90646000 is 64609.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90646009) 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, 121629 + ... + 122371.

Almost surely, 2^90646000 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 90646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111537504).

90646000 is an abundant number, since it is smaller than the sum of its proper divisors (132429008).

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

90646000 is a wasteful number, since it uses less digits than its factorization.

90646000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 90646000 is about 9520.8192924769. The cubic root of 90646000 is about 449.2101370371.

The spelling of 90646000 in words is "ninety million, six hundred forty-six thousand".