890612352 has 192 divisors, whose sum is σ = 2950084800. Its totient is φ = 252628992.

The previous prime is 890612329. The next prime is 890612357. The reversal of 890612352 is 253216098.

890612352 is a `hidden beast` number, since 8 + 9 + 0 + 612 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890612357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1443148 + ... + 1443764.

It is an arithmetic number, because the mean of its divisors is an integer number (15365025).

Almost surely, 2^890612352 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 890612352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475042400).

890612352 is an abundant number, since it is smaller than the sum of its proper divisors (2059472448).

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

890612352 is a wasteful number, since it uses less digits than its factorization.

890612352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 890612352 is about 29843.1290584617. The cubic root of 890612352 is about 962.1207283329.

The spelling of 890612352 in words is "eight hundred ninety million, six hundred twelve thousand, three hundred fifty-two".