90826000 has 40 divisors (see below), whose sum is σ = 219622104. Its totient is φ = 36329600.

The previous prime is 90825997. The next prime is 90826003. The reversal of 90826000 is 62809.

It is an interprime number because it is at equal distance from previous prime (90825997) and next prime (90826003).

It can be written as a sum of positive squares in 4 ways, for example, as 25280784 + 65545216 = 5028^2 + 8096^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (90826003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20707 + ... + 24706.

Almost surely, 2^90826000 is an apocalyptic number.

It is an amenable number.

90826000 is an abundant number, since it is smaller than the sum of its proper divisors (128796104).

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

90826000 is a wasteful number, since it uses less digits than its factorization.

90826000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45436 (or 45420 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 90826000 is about 9530.2675723193. The cubic root of 90826000 is about 449.5072796306.

Adding to 90826000 its reverse (62809), we get a palindrome (90888809).

The spelling of 90826000 in words is "ninety million, eight hundred twenty-six thousand".