162057040 has 80 divisors (see below), whose sum is σ = 394648848. Its totient is φ = 61820928.

The previous prime is 162057037. The next prime is 162057041. The reversal of 162057040 is 40750261.

It can be written as a sum of positive squares in 8 ways, for example, as 47224384 + 114832656 = 6872^2 + 10716^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 162056996 and 162057014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162057041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156364 + ... + 157396.

Almost surely, 2^162057040 is an apocalyptic number.

162057040 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 162057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197324424).

162057040 is an abundant number, since it is smaller than the sum of its proper divisors (232591808).

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

162057040 is a wasteful number, since it uses less digits than its factorization.

162057040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 162057040 is about 12730.1626069740. The cubic root of 162057040 is about 545.2001509337.

The spelling of 162057040 in words is "one hundred sixty-two million, fifty-seven thousand, forty".