162527040 has 224 divisors, whose sum is σ = 617890560. Its totient is φ = 39979008.

The previous prime is 162527033. The next prime is 162527041. The reversal of 162527040 is 40725261.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 162526995 and 162527013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162527041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111597 + ... + 113043.

It is an arithmetic number, because the mean of its divisors is an integer number (2758440).

Almost surely, 2^162527040 is an apocalyptic number.

162527040 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 162527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308945280).

162527040 is an abundant number, since it is smaller than the sum of its proper divisors (455363520).

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

162527040 is a wasteful number, since it uses less digits than its factorization.

162527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 162527040 is about 12748.6093359237. The cubic root of 162527040 is about 545.7267078145.

The spelling of 162527040 in words is "one hundred sixty-two million, five hundred twenty-seven thousand, forty".