892991952 has 180 divisors, whose sum is σ = 2689202880. Its totient is φ = 286856640.

The previous prime is 892991927. The next prime is 892991971. The reversal of 892991952 is 259199298.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1049760) is a multiple of the sum of its prime factors (324).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3736249 + ... + 3736487.

It is an arithmetic number, because the mean of its divisors is an integer number (14940016).

Almost surely, 2^892991952 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 892991952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344601440).

892991952 is an abundant number, since it is smaller than the sum of its proper divisors (1796210928).

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

892991952 is a wasteful number, since it uses less digits than its factorization.

892991952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 275 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The square root of 892991952 is about 29882.9709366388. The cubic root of 892991952 is about 962.9768533174.

The spelling of 892991952 in words is "eight hundred ninety-two million, nine hundred ninety-one thousand, nine hundred fifty-two".