867922560 has 128 divisors (see below), whose sum is σ = 3073953600. Its totient is φ = 231441408.

The previous prime is 867922529. The next prime is 867922567. The reversal of 867922560 is 65229768.

867922560 is a `hidden beast` number, since 8 + 67 + 9 + 22 + 560 = 666.

867922560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (867922567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7834 + ... + 42393.

Almost surely, 2^867922560 is an apocalyptic number.

867922560 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 867922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536976800).

867922560 is an abundant number, since it is smaller than the sum of its proper divisors (2206031040).

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

867922560 is a wasteful number, since it uses less digits than its factorization.

867922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50255 (or 50237 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 867922560 is about 29460.5254535624. The cubic root of 867922560 is about 953.8798155628.

The spelling of 867922560 in words is "eight hundred sixty-seven million, nine hundred twenty-two thousand, five hundred sixty".