164245842 has 48 divisors (see below), whose sum is σ = 376140960. Its totient is φ = 51653376.

The previous prime is 164245831. The next prime is 164245847. The reversal of 164245842 is 248542461.

164245842 is a `hidden beast` number, since 1 + 642 + 4 + 5 + 8 + 4 + 2 = 666.

It is a super-2 number, since 2×164245842² = 53953393228577928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164245797 and 164245806.

It is not an unprimeable number, because it can be changed into a prime (164245847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95938 + ... + 97634.

It is an arithmetic number, because the mean of its divisors is an integer number (7836270).

Almost surely, 2^164245842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164245842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188070480).

164245842 is an abundant number, since it is smaller than the sum of its proper divisors (211895118).

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

164245842 is a wasteful number, since it uses less digits than its factorization.

164245842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2004 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 164245842 is about 12815.8433979196. The cubic root of 164245842 is about 547.6437403289.

The spelling of 164245842 in words is "one hundred sixty-four million, two hundred forty-five thousand, eight hundred forty-two".