867516720 has 160 divisors (see below), whose sum is σ = 3131799552. Its totient is φ = 194528256.

The previous prime is 867516677. The next prime is 867516733. The reversal of 867516720 is 27615768.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 84169 + ... + 93911.

Almost surely, 2^867516720 is an apocalyptic number.

867516720 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 867516720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565899776).

867516720 is an abundant number, since it is smaller than the sum of its proper divisors (2264282832).

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

867516720 is a wasteful number, since it uses less digits than its factorization.

867516720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9819 (or 9813 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 867516720 is about 29453.6367873307. The cubic root of 867516720 is about 953.7311145314.

The spelling of 867516720 in words is "eight hundred sixty-seven million, five hundred sixteen thousand, seven hundred twenty".