866615400 has 288 divisors, whose sum is σ = 3361987200. Its totient is φ = 195955200.

The previous prime is 866615359. The next prime is 866615429. The reversal of 866615400 is 4516668.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 1373085 + ... + 1373715.

Almost surely, 2^866615400 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 866615400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680993600).

866615400 is an abundant number, since it is smaller than the sum of its proper divisors (2495371800).

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

866615400 is a wasteful number, since it uses less digits than its factorization.

866615400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 866615400 is about 29438.3321538432. The cubic root of 866615400 is about 953.4007021469.

The spelling of 866615400 in words is "eight hundred sixty-six million, six hundred fifteen thousand, four hundred".