164913440 has 96 divisors (see below), whose sum is σ = 405926640. Its totient is φ = 63258624.

The previous prime is 164913433. The next prime is 164913451. The reversal of 164913440 is 44319461.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 27836176 + 137077264 = 5276^2 + 11708^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 164913397 and 164913406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526724 + ... + 527036.

Almost surely, 2^164913440 is an apocalyptic number.

164913440 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 164913440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202963320).

164913440 is an abundant number, since it is smaller than the sum of its proper divisors (241013200).

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

164913440 is a wasteful number, since it uses less digits than its factorization.

164913440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 164913440 is about 12841.8627932244. The cubic root of 164913440 is about 548.3847263744.

The spelling of 164913440 in words is "one hundred sixty-four million, nine hundred thirteen thousand, four hundred forty".