164362540 has 48 divisors (see below), whose sum is σ = 370228320. Its totient is φ = 61102080.

The previous prime is 164362537. The next prime is 164362553. The reversal of 164362540 is 45263461.

164362540 = T₂₄₀ + T₂₄₁ + ... + T₉₉₉.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16060 + ... + 24220.

It is an arithmetic number, because the mean of its divisors is an integer number (7713090).

Almost surely, 2^164362540 is an apocalyptic number.

164362540 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 164362540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185114160).

164362540 is an abundant number, since it is smaller than the sum of its proper divisors (205865780).

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

164362540 is a wasteful number, since it uses less digits than its factorization.

164362540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8242 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 164362540 is about 12820.3954697193. The cubic root of 164362540 is about 547.7734113928.

The spelling of 164362540 in words is "one hundred sixty-four million, three hundred sixty-two thousand, five hundred forty".