162864240 has 240 divisors, whose sum is σ = 641208960. Its totient is φ = 33815040.

The previous prime is 162864227. The next prime is 162864253. The reversal of 162864240 is 42468261.

It is an interprime number because it is at equal distance from previous prime (162864227) and next prime (162864253).

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128731 + ... + 129989.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2^162864240 is an apocalyptic number.

162864240 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 162864240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320604480).

162864240 is an abundant number, since it is smaller than the sum of its proper divisors (478344720).

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

162864240 is a wasteful number, since it uses less digits than its factorization.

162864240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 162864240 is about 12761.8274553451. The cubic root of 162864240 is about 546.1038592698.

The spelling of 162864240 in words is "one hundred sixty-two million, eight hundred sixty-four thousand, two hundred forty".