164898720 has 576 divisors, whose sum is σ = 723945600. Its totient is φ = 34836480.

The previous prime is 164898719. The next prime is 164898737. The reversal of 164898720 is 27898461.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4021900 + ... + 4021940.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^164898720 is an apocalyptic number.

164898720 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 164898720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361972800).

164898720 is an abundant number, since it is smaller than the sum of its proper divisors (559046880).

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

164898720 is a wasteful number, since it uses less digits than its factorization.

164898720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 164898720 is about 12841.2896548594. The cubic root of 164898720 is about 548.3684098078.

The spelling of 164898720 in words is "one hundred sixty-four million, eight hundred ninety-eight thousand, seven hundred twenty".