162948240 has 320 divisors, whose sum is σ = 691622400. Its totient is φ = 34338816.

The previous prime is 162948229. The next prime is 162948251. The reversal of 162948240 is 42849261.

162948240 is a `hidden beast` number, since 1 + 629 + 4 + 8 + 24 + 0 = 666.

162948240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (162948229) and next prime (162948251).

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

It is a junction number, because it is equal to n+sod(n) for n = 162948195 and 162948204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196146 + ... + 196974.

It is an arithmetic number, because the mean of its divisors is an integer number (2161320).

Almost surely, 2^162948240 is an apocalyptic number.

162948240 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 162948240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345811200).

162948240 is an abundant number, since it is smaller than the sum of its proper divisors (528674160).

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

162948240 is a wasteful number, since it uses less digits than its factorization.

162948240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 859 counting only the distinct ones).

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

The square root of 162948240 is about 12765.1180958109. The cubic root of 162948240 is about 546.1977305822.

The spelling of 162948240 in words is "one hundred sixty-two million, nine hundred forty-eight thousand, two hundred forty".