862272640 has 128 divisors (see below), whose sum is σ = 2237019120. Its totient is φ = 316538880.

The previous prime is 862272629. The next prime is 862272659. The reversal of 862272640 is 46272268.

It can be written as a sum of positive squares in 8 ways, for example, as 334743616 + 527529024 = 18296^2 + 22968^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×862272640³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 862272640.

It is an unprimeable number.

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, 445114 + ... + 447046.

Almost surely, 2^862272640 is an apocalyptic number.

862272640 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 862272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118509560).

862272640 is an abundant number, since it is smaller than the sum of its proper divisors (1374746480).

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

862272640 is a wasteful number, since it uses less digits than its factorization.

862272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 862272640 is about 29364.4792223530. The cubic root of 862272640 is about 951.8054824668.

The spelling of 862272640 in words is "eight hundred sixty-two million, two hundred seventy-two thousand, six hundred forty".