867697920 has 180 divisors, whose sum is σ = 3105152820. Its totient is φ = 231358464.

The previous prime is 867697913. The next prime is 867697937. The reversal of 867697920 is 29796768.

It can be written as a sum of positive squares in 2 ways, for example, as 472801536 + 394896384 = 21744^2 + 19872^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99496 + ... + 107864.

It is an arithmetic number, because the mean of its divisors is an integer number (17250849).

Almost surely, 2^867697920 is an apocalyptic number.

867697920 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 867697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552576410).

867697920 is an abundant number, since it is smaller than the sum of its proper divisors (2237454900).

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

867697920 is an equidigital number, since it uses as much as digits as its factorization.

867697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8402 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 867697920 is about 29456.7126475444. The cubic root of 867697920 is about 953.7975125013.

The spelling of 867697920 in words is "eight hundred sixty-seven million, six hundred ninety-seven thousand, nine hundred twenty".