164057376 has 96 divisors (see below), whose sum is σ = 494702208. Its totient is φ = 46632960.

The previous prime is 164057287. The next prime is 164057389. The reversal of 164057376 is 673750461.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161446 + ... + 162458.

It is an arithmetic number, because the mean of its divisors is an integer number (5153148).

Almost surely, 2^164057376 is an apocalyptic number.

164057376 is a gapful number since it is divisible by the number (16) 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 164057376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247351104).

164057376 is an abundant number, since it is smaller than the sum of its proper divisors (330644832).

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

164057376 is a wasteful number, since it uses less digits than its factorization.

164057376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 164057376 is about 12808.4884354088. The cubic root of 164057376 is about 547.4341932124.

The spelling of 164057376 in words is "one hundred sixty-four million, fifty-seven thousand, three hundred seventy-six".