164085900 has 144 divisors (see below), whose sum is σ = 545381760. Its totient is φ = 37670400.

The previous prime is 164085869. The next prime is 164085907. The reversal of 164085900 is 9580461.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (164085907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61392 + ... + 64008.

Almost surely, 2^164085900 is an apocalyptic number.

164085900 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 164085900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272690880).

164085900 is an abundant number, since it is smaller than the sum of its proper divisors (381295860).

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

164085900 is a wasteful number, since it uses less digits than its factorization.

164085900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 164085900 is about 12809.6018673494. The cubic root of 164085900 is about 547.4659181053.

The spelling of 164085900 in words is "one hundred sixty-four million, eighty-five thousand, nine hundred".