162116640 has 240 divisors, whose sum is σ = 654236352. Its totient is φ = 37034496.

The previous prime is 162116629. The next prime is 162116651. The reversal of 162116640 is 46611261.

162116640 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 16 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (162116629) and next prime (162116651).

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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89827 + ... + 91613.

Almost surely, 2^162116640 is an apocalyptic number.

162116640 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 162116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327118176).

162116640 is an abundant number, since it is smaller than the sum of its proper divisors (492119712).

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

162116640 is a wasteful number, since it uses less digits than its factorization.

162116640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 162116640 is about 12732.5032888274. The cubic root of 162116640 is about 545.2669791450.

The spelling of 162116640 in words is "one hundred sixty-two million, one hundred sixteen thousand, six hundred forty".