164051460 has 96 divisors (see below), whose sum is σ = 512265600. Its totient is φ = 43585920.

The previous prime is 164051449. The next prime is 164051467. The reversal of 164051460 is 64150461.

164051460 is a `hidden beast` number, since 1 + 640 + 5 + 14 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (164051467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248611 + ... + 249269.

It is an arithmetic number, because the mean of its divisors is an integer number (5336100).

Almost surely, 2^164051460 is an apocalyptic number.

164051460 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 164051460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256132800).

164051460 is an abundant number, since it is smaller than the sum of its proper divisors (348214140).

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

164051460 is a wasteful number, since it uses less digits than its factorization.

164051460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 164051460 is about 12808.2574927271. The cubic root of 164051460 is about 547.4276128731.

Subtracting from 164051460 its reverse (64150461), we obtain a palindrome (99900999).

The spelling of 164051460 in words is "one hundred sixty-four million, fifty-one thousand, four hundred sixty".