162661248 has 48 divisors (see below), whose sum is σ = 468078000. Its totient is φ = 54220032.

The previous prime is 162661241. The next prime is 162661271. The reversal of 162661248 is 842166261.

162661248 is a `hidden beast` number, since 1 + 626 + 6 + 1 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162661241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69448 + ... + 71751.

It is an arithmetic number, because the mean of its divisors is an integer number (9751625).

Almost surely, 2^162661248 is an apocalyptic number.

162661248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

162661248 is an abundant number, since it is smaller than the sum of its proper divisors (305416752).

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

162661248 is a wasteful number, since it uses less digits than its factorization.

162661248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141219 (or 141204 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 162661248 is about 12753.8718826872. The cubic root of 162661248 is about 545.8768792147.

The spelling of 162661248 in words is "one hundred sixty-two million, six hundred sixty-one thousand, two hundred forty-eight".