9919000 has 128 divisors (see below), whose sum is σ = 28828800. Its totient is φ = 3110400.

The previous prime is 9918991. The next prime is 9919009. The reversal of 9919000 is 9199.

9919000 = T₆₄ + T₆₅ + ... + T₃₉₀.

It is an interprime number because it is at equal distance from previous prime (9918991) and next prime (9919009).

It is a super-2 number, since 2×9919000² = 196773122000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 9919000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9919009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90946 + ... + 91054.

It is an arithmetic number, because the mean of its divisors is an integer number (225225).

Almost surely, 2^9919000 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 9919000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414400).

9919000 is an abundant number, since it is smaller than the sum of its proper divisors (18909800).

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

9919000 is a wasteful number, since it uses less digits than its factorization.

9919000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 28.

The square root of 9919000 is about 3149.4443954450. Note that the first 3 decimals coincide. The cubic root of 9919000 is about 214.8601939480.

The spelling of 9919000 in words is "nine million, nine hundred nineteen thousand".