164365740 has 384 divisors, whose sum is σ = 658022400. Its totient is φ = 33073920.

The previous prime is 164365727. The next prime is 164365753. The reversal of 164365740 is 47563461.

It is a happy number.

164365740 is a `hidden beast` number, since 1 + 643 + 6 + 5 + 7 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (164365727) and next prime (164365753).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 164365695 and 164365704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2453187 + ... + 2453253.

It is an arithmetic number, because the mean of its divisors is an integer number (1713600).

Almost surely, 2^164365740 is an apocalyptic number.

164365740 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 164365740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329011200).

164365740 is an abundant number, since it is smaller than the sum of its proper divisors (493656660).

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

164365740 is a wasteful number, since it uses less digits than its factorization.

164365740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 164365740 is about 12820.5202702542. The cubic root of 164365740 is about 547.7769662652.

The spelling of 164365740 in words is "one hundred sixty-four million, three hundred sixty-five thousand, seven hundred forty".