892043064 has 256 divisors, whose sum is σ = 2834496000. Its totient is φ = 257541120.

The previous prime is 892043051. The next prime is 892043069. The reversal of 892043064 is 460340298.

It is a happy number.

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 (892043069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6417507 + ... + 6417645.

It is an arithmetic number, because the mean of its divisors is an integer number (11072250).

Almost surely, 2^892043064 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 892043064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417248000).

892043064 is an abundant number, since it is smaller than the sum of its proper divisors (1942452936).

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

892043064 is a wasteful number, since it uses less digits than its factorization.

892043064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 892043064 is about 29867.0899821191. The cubic root of 892043064 is about 962.6356479196.

It can be divided in two parts, 8920 and 43064, that added together give a square (51984 = 228²).

The spelling of 892043064 in words is "eight hundred ninety-two million, forty-three thousand, sixty-four".