862072640 has 112 divisors (see below), whose sum is σ = 2411821440. Its totient is φ = 289351680.

The previous prime is 862072621. The next prime is 862072649. The reversal of 862072640 is 46270268.

It is a self number, because there is not a number n which added to its sum of digits gives 862072640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (862072649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36341 + ... + 55179.

It is an arithmetic number, because the mean of its divisors is an integer number (21534120).

Almost surely, 2^862072640 is an apocalyptic number.

862072640 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 862072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205910720).

862072640 is an abundant number, since it is smaller than the sum of its proper divisors (1549748800).

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

862072640 is a wasteful number, since it uses less digits than its factorization.

862072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18880 (or 18870 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 862072640 is about 29361.0735498551. The cubic root of 862072640 is about 951.7318878722.

The spelling of 862072640 in words is "eight hundred sixty-two million, seventy-two thousand, six hundred forty".