164311780 has 72 divisors (see below), whose sum is σ = 364343616. Its totient is φ = 62228160.

The previous prime is 164311757. The next prime is 164311789. The reversal of 164311780 is 87113461.

164311780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164311780² = 53996722093536800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (164311789) 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, 1595209 + ... + 1595311.

It is an arithmetic number, because the mean of its divisors is an integer number (5060328).

Almost surely, 2^164311780 is an apocalyptic number.

164311780 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 164311780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182171808).

164311780 is an abundant number, since it is smaller than the sum of its proper divisors (200031836).

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

164311780 is a wasteful number, since it uses less digits than its factorization.

164311780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 164311780 is about 12818.4156587310. The cubic root of 164311780 is about 547.7170160585.

The spelling of 164311780 in words is "one hundred sixty-four million, three hundred eleven thousand, seven hundred eighty".