162001840 has 360 divisors, whose sum is σ = 546808752. Its totient is φ = 43868160.

The previous prime is 162001837. The next prime is 162001843. The reversal of 162001840 is 48100261.

It is an interprime number because it is at equal distance from previous prime (162001837) and next prime (162001843).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (162001843) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9529512 + ... + 9529528.

Almost surely, 2^162001840 is an apocalyptic number.

162001840 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 162001840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273404376).

162001840 is an abundant number, since it is smaller than the sum of its proper divisors (384806912).

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

162001840 is a wasteful number, since it uses less digits than its factorization.

162001840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 162001840 is about 12727.9943431791. The cubic root of 162001840 is about 545.1382417319.

The spelling of 162001840 in words is "one hundred sixty-two million, one thousand, eight hundred forty".