868626000 has 480 divisors, whose sum is σ = 3422030976. Its totient is φ = 203520000.

The previous prime is 868625963. The next prime is 868626007. The reversal of 868626000 is 626868.

It is a super-2 number, since 2×868626000² = 1509022255752000000, which contains 22 as substring.

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 (868626007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8117947 + ... + 8118053.

Almost surely, 2^868626000 is an apocalyptic number.

868626000 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 868626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711015488).

868626000 is an abundant number, since it is smaller than the sum of its proper divisors (2553404976).

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

868626000 is a wasteful number, since it uses less digits than its factorization.

868626000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 868626000 is about 29472.4617227676. The cubic root of 868626000 is about 954.1374483869.

The spelling of 868626000 in words is "eight hundred sixty-eight million, six hundred twenty-six thousand".