164835840 has 240 divisors, whose sum is σ = 575106048. Its totient is φ = 40255488.

The previous prime is 164835809. The next prime is 164835877. The reversal of 164835840 is 48538461.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1297857 + ... + 1297983.

Almost surely, 2^164835840 is an apocalyptic number.

164835840 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 164835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287553024).

164835840 is an abundant number, since it is smaller than the sum of its proper divisors (410270208).

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

164835840 is a wasteful number, since it uses less digits than its factorization.

164835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 164835840 is about 12838.8410691931. The cubic root of 164835840 is about 548.2986987565.

The spelling of 164835840 in words is "one hundred sixty-four million, eight hundred thirty-five thousand, eight hundred forty".