162013968 has 30 divisors (see below), whose sum is σ = 453414494. Its totient is φ = 54004608.

The previous prime is 162013963. The next prime is 162013991. The reversal of 162013968 is 869310261.

It can be written as a sum of positive squares in only one way, i.e., 126157824 + 35856144 = 11232^2 + 5988^2 .

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

It is not an unprimeable number, because it can be changed into a prime (162013963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 562405 + ... + 562692.

Almost surely, 2^162013968 is an apocalyptic number.

162013968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

162013968 is an abundant number, since it is smaller than the sum of its proper divisors (291400526).

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

162013968 is a wasteful number, since it uses less digits than its factorization.

162013968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125111 (or 1125102 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 162013968 is about 12728.4707643927. The cubic root of 162013968 is about 545.1518450169.

The spelling of 162013968 in words is "one hundred sixty-two million, thirteen thousand, nine hundred sixty-eight".