162461520 has 240 divisors, whose sum is σ = 622741392. Its totient is φ = 37601280.

The previous prime is 162461513. The next prime is 162461539. The reversal of 162461520 is 25164261.

162461520 is a `hidden beast` number, since 1 + 6 + 24 + 615 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 968256 + 161493264 = 984^2 + 12708^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158610 + ... + 159630.

Almost surely, 2^162461520 is an apocalyptic number.

162461520 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 162461520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311370696).

162461520 is an abundant number, since it is smaller than the sum of its proper divisors (460279872).

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

162461520 is a wasteful number, since it uses less digits than its factorization.

162461520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 162461520 is about 12746.0393848442. The cubic root of 162461520 is about 545.6533644910.

It can be divided in two parts, 16246 and 1520, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 162461520 in words is "one hundred sixty-two million, four hundred sixty-one thousand, five hundred twenty".