164863760 has 40 divisors (see below), whose sum is σ = 403486080. Its totient is φ = 62474112.

The previous prime is 164863729. The next prime is 164863771. The reversal of 164863760 is 67368461.

164863760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×164863760² = 54360118722675200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52712 + ... + 55751.

It is an arithmetic number, because the mean of its divisors is an integer number (10087152).

Almost surely, 2^164863760 is an apocalyptic number.

164863760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164863760 is an abundant number, since it is smaller than the sum of its proper divisors (238622320).

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

164863760 is a wasteful number, since it uses less digits than its factorization.

164863760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108495 (or 108489 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 164863760 is about 12839.9283487097. The cubic root of 164863760 is about 548.3296540702.

The spelling of 164863760 in words is "one hundred sixty-four million, eight hundred sixty-three thousand, seven hundred sixty".