164084340 has 240 divisors, whose sum is σ = 575975232. Its totient is φ = 34771968.

The previous prime is 164084321. The next prime is 164084353. The reversal of 164084340 is 43480461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 164084298 and 164084307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2448987 + ... + 2449053.

Almost surely, 2^164084340 is an apocalyptic number.

164084340 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 164084340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287987616).

164084340 is an abundant number, since it is smaller than the sum of its proper divisors (411890892).

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

164084340 is a wasteful number, since it uses less digits than its factorization.

164084340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 164084340 is about 12809.5409753824. The cubic root of 164084340 is about 547.4641831410.

The spelling of 164084340 in words is "one hundred sixty-four million, eighty-four thousand, three hundred forty".