171828540 has 240 divisors, whose sum is σ = 597643200. Its totient is φ = 41057280.

The previous prime is 171828539. The next prime is 171828577. The reversal of 171828540 is 45828171.

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

It is a junction number, because it is equal to n+sod(n) for n = 171828495 and 171828504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 863361 + ... + 863559.

It is an arithmetic number, because the mean of its divisors is an integer number (2490180).

Almost surely, 2^171828540 is an apocalyptic number.

171828540 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 171828540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298821600).

171828540 is an abundant number, since it is smaller than the sum of its proper divisors (425814660).

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

171828540 is a wasteful number, since it uses less digits than its factorization.

171828540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 171828540 is about 13108.3385674921. The cubic root of 171828540 is about 555.9449206173.

The spelling of 171828540 in words is "one hundred seventy-one million, eight hundred twenty-eight thousand, five hundred forty".