162012240 has 240 divisors, whose sum is σ = 617460480. Its totient is φ = 37739520.

The previous prime is 162012239. The next prime is 162012247. The reversal of 162012240 is 42210261.

162012240 is a `hidden beast` number, since 1 + 620 + 1 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162012247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177385 + ... + 178295.

It is an arithmetic number, because the mean of its divisors is an integer number (2572752).

Almost surely, 2^162012240 is an apocalyptic number.

162012240 is a gapful number since it is divisible by the number (10) 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 162012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308730240).

162012240 is an abundant number, since it is smaller than the sum of its proper divisors (455448240).

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

162012240 is a wasteful number, since it uses less digits than its factorization.

162012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 162012240 is about 12728.4028848870. The cubic root of 162012240 is about 545.1499068595.

The spelling of 162012240 in words is "one hundred sixty-two million, twelve thousand, two hundred forty".