892645248 has 256 divisors, whose sum is σ = 2834196480. Its totient is φ = 245760000.

The previous prime is 892645223. The next prime is 892645261. The reversal of 892645248 is 842546298.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 892645197 and 892645206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2225848 + ... + 2226248.

It is an arithmetic number, because the mean of its divisors is an integer number (11071080).

Almost surely, 2^892645248 is an apocalyptic number.

892645248 is a gapful number since it is divisible by the number (88) 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 892645248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417098240).

892645248 is an abundant number, since it is smaller than the sum of its proper divisors (1941551232).

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

892645248 is a wasteful number, since it uses less digits than its factorization.

892645248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 465 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 892645248 is about 29877.1693438318. The cubic root of 892645248 is about 962.8522119759.

The spelling of 892645248 in words is "eight hundred ninety-two million, six hundred forty-five thousand, two hundred forty-eight".