868037040 has 320 divisors, whose sum is σ = 3391449600. Its totient is φ = 202300416.

The previous prime is 868037039. The next prime is 868037041. The reversal of 868037040 is 40730868.

It is an interprime number because it is at equal distance from previous prime (868037039) and next prime (868037041).

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 = 868036986 and 868037004.

It is not an unprimeable number, because it can be changed into a prime (868037041) 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, 532707 + ... + 534333.

It is an arithmetic number, because the mean of its divisors is an integer number (10598280).

Almost surely, 2^868037040 is an apocalyptic number.

868037040 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 868037040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695724800).

868037040 is an abundant number, since it is smaller than the sum of its proper divisors (2523412560).

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

868037040 is a wasteful number, since it uses less digits than its factorization.

868037040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 868037040 is about 29462.4683283665. The cubic root of 868037040 is about 953.9217530064.

The spelling of 868037040 in words is "eight hundred sixty-eight million, thirty-seven thousand, forty".