164800980 has 120 divisors (see below), whose sum is σ = 539586432. Its totient is φ = 42026688.

The previous prime is 164800973. The next prime is 164800981. The reversal of 164800980 is 89008461.

It is a happy number.

164800980 is a `hidden beast` number, since 1 + 648 + 0 + 0 + 9 + 8 + 0 = 666.

164800980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164800981) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35049 + ... + 39471.

Almost surely, 2^164800980 is an apocalyptic number.

164800980 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 164800980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269793216).

164800980 is an abundant number, since it is smaller than the sum of its proper divisors (374785452).

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

164800980 is a wasteful number, since it uses less digits than its factorization.

164800980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 164800980 is about 12837.4833982366. The cubic root of 164800980 is about 548.2600440557.

The spelling of 164800980 in words is "one hundred sixty-four million, eight hundred thousand, nine hundred eighty".