162957960 has 384 divisors, whose sum is σ = 632016000. Its totient is φ = 37255680.

The previous prime is 162957959. The next prime is 162957997. The reversal of 162957960 is 69759261.

It is a happy number.

162957960 is a `hidden beast` number, since 16 + 2 + 9 + 579 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3789699 + ... + 3789741.

It is an arithmetic number, because the mean of its divisors is an integer number (1645875).

Almost surely, 2^162957960 is an apocalyptic number.

162957960 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 162957960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316008000).

162957960 is an abundant number, since it is smaller than the sum of its proper divisors (469058040).

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

162957960 is a wasteful number, since it uses less digits than its factorization.

162957960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 162957960 is about 12765.4988151658. The cubic root of 162957960 is about 546.2085907514.

The spelling of 162957960 in words is "one hundred sixty-two million, nine hundred fifty-seven thousand, nine hundred sixty".