168792064 has 117 divisors (see below), whose sum is σ = 406658577. Its totient is φ = 69844992.

The previous prime is 168792061. The next prime is 168792119. The reversal of 168792064 is 460297861.

The square root of 168792064 is 12992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 88510464 + 80281600 = 9408^2 + 8960^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 168792064.

It is not an unprimeable number, because it can be changed into a prime (168792061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5820402 + ... + 5820430.

Almost surely, 2^168792064 is an apocalyptic number.

168792064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

168792064 is the 12992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168792064

168792064 is an abundant number, since it is smaller than the sum of its proper divisors (237866513).

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

168792064 is an frugal number, since it uses more digits than its factorization.

168792064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The cubic root of 168792064 is about 552.6506365670.

The spelling of 168792064 in words is "one hundred sixty-eight million, seven hundred ninety-two thousand, sixty-four".