892489920 has 168 divisors, whose sum is σ = 3296466864. Its totient is φ = 203986944.

The previous prime is 892489901. The next prime is 892489921. The reversal of 892489920 is 29984298.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (892489921) 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 23 ways as a sum of consecutive naturals, for example, 37554 + ... + 56526.

Almost surely, 2^892489920 is an apocalyptic number.

892489920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 892489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648233432).

892489920 is an abundant number, since it is smaller than the sum of its proper divisors (2403976944).

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

892489920 is a wasteful number, since it uses less digits than its factorization.

892489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19007 (or 18990 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 892489920 is about 29874.5697876974. The cubic root of 892489920 is about 962.7963605298.

The spelling of 892489920 in words is "eight hundred ninety-two million, four hundred eighty-nine thousand, nine hundred twenty".