892085040 has 240 divisors, whose sum is σ = 3735403776. Its totient is φ = 185356800.

The previous prime is 892085027. The next prime is 892085063. The reversal of 892085040 is 40580298.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 892084986 and 892085004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47395 + ... + 63485.

Almost surely, 2^892085040 is an apocalyptic number.

892085040 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 892085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867701888).

892085040 is an abundant number, since it is smaller than the sum of its proper divisors (2843318736).

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

892085040 is a wasteful number, since it uses less digits than its factorization.

892085040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16128 (or 16119 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 892085040 is about 29867.7926871070. The cubic root of 892085040 is about 962.6507469515.

The spelling of 892085040 in words is "eight hundred ninety-two million, eighty-five thousand, forty".