868654080 has 264 divisors, whose sum is σ = 3441121632. Its totient is φ = 198475776.

The previous prime is 868654079. The next prime is 868654093. The reversal of 868654080 is 80456868.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321214 + ... + 323906.

Almost surely, 2^868654080 is an apocalyptic number.

868654080 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 868654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720560816).

868654080 is an abundant number, since it is smaller than the sum of its proper divisors (2572467552).

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

868654080 is a wasteful number, since it uses less digits than its factorization.

868654080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 868654080 is about 29472.9380958194. The cubic root of 868654080 is about 954.1477297166.

The spelling of 868654080 in words is "eight hundred sixty-eight million, six hundred fifty-four thousand, eighty".