866460672 has 528 divisors, whose sum is σ = 3310572160. Its totient is φ = 218972160.

The previous prime is 866460643. The next prime is 866460691. The reversal of 866460672 is 276064668.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×866460672² = 1501508192245383168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23417838 + ... + 23417874.

Almost surely, 2^866460672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655286080).

866460672 is an abundant number, since it is smaller than the sum of its proper divisors (2444111488).

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

866460672 is a wasteful number, since it uses less digits than its factorization.

866460672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 866460672 is about 29435.7040343865. The cubic root of 866460672 is about 953.3439578040.

The spelling of 866460672 in words is "eight hundred sixty-six million, four hundred sixty thousand, six hundred seventy-two".