164004764 has 48 divisors (see below), whose sum is σ = 365164800. Its totient is φ = 63892080.

The previous prime is 164004733. The next prime is 164004769. The reversal of 164004764 is 467400461.

It is a super-2 number, since 2×164004764² = 53795125229391392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164004764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164004769) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9659 + ... + 20525.

It is an arithmetic number, because the mean of its divisors is an integer number (7607600).

Almost surely, 2^164004764 is an apocalyptic number.

164004764 is a gapful number since it is divisible by the number (14) 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 164004764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182582400).

164004764 is an abundant number, since it is smaller than the sum of its proper divisors (201160036).

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

164004764 is a wasteful number, since it uses less digits than its factorization.

164004764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10903 (or 10887 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 164004764 is about 12806.4344764653. The cubic root of 164004764 is about 547.3756675757.

The spelling of 164004764 in words is "one hundred sixty-four million, four thousand, seven hundred sixty-four".