164919040 has 288 divisors, whose sum is σ = 500665536. Its totient is φ = 51118080.

The previous prime is 164919019. The next prime is 164919049. The reversal of 164919040 is 40919461.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 164918987 and 164919005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164919049) 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, 3111654 + ... + 3111706.

It is an arithmetic number, because the mean of its divisors is an integer number (1738422).

Almost surely, 2^164919040 is an apocalyptic number.

164919040 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 164919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250332768).

164919040 is an abundant number, since it is smaller than the sum of its proper divisors (335746496).

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

164919040 is a wasteful number, since it uses less digits than its factorization.

164919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 164919040 is about 12842.0808282770. The cubic root of 164919040 is about 548.3909335089.

The spelling of 164919040 in words is "one hundred sixty-four million, nine hundred nineteen thousand, forty".