92001000 has 256 divisors, whose sum is σ = 354332160. Its totient is φ = 19353600.

The previous prime is 92000999. The next prime is 92001023. The reversal of 92001000 is 10029.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272832 + ... + 273168.

It is an arithmetic number, because the mean of its divisors is an integer number (1384110).

Almost surely, 2^92001000 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 92001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177166080).

92001000 is an abundant number, since it is smaller than the sum of its proper divisors (262331160).

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

92001000 is a wasteful number, since it uses less digits than its factorization.

92001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 92001000 is about 9591.7151750873. The cubic root of 92001000 is about 451.4373791782.

Adding to 92001000 its reverse (10029), we get a palindrome (92011029).

The spelling of 92001000 in words is "ninety-two million, one thousand".