890065152 has 144 divisors (see below), whose sum is σ = 2676495360. Its totient is φ = 291686400.

The previous prime is 890065139. The next prime is 890065153. The reversal of 890065152 is 251560098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (890065153) 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, 420577 + ... + 422687.

Almost surely, 2^890065152 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 890065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338247680).

890065152 is an abundant number, since it is smaller than the sum of its proper divisors (1786430208).

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

890065152 is a wasteful number, since it uses less digits than its factorization.

890065152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 890065152 is about 29833.9597103703. The cubic root of 890065152 is about 961.9236428402.

The spelling of 890065152 in words is "eight hundred ninety million, sixty-five thousand, one hundred fifty-two".