99967000 has 64 divisors (see below), whose sum is σ = 267359040. Its totient is φ = 34272000.

The previous prime is 99966991. The next prime is 99967001. The reversal of 99967000 is 76999.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99967001) 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, 141 + ... + 14140.

It is an arithmetic number, because the mean of its divisors is an integer number (4177485).

Almost surely, 2^99967000 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 99967000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133679520).

99967000 is an abundant number, since it is smaller than the sum of its proper divisors (167392040).

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

99967000 is a wasteful number, since it uses less digits than its factorization.

99967000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14309 (or 14295 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 40.

The square root of 99967000 is about 9998.3498638525. The cubic root of 99967000 is about 464.1078202668.

The spelling of 99967000 in words is "ninety-nine million, nine hundred sixty-seven thousand".