180342840 has 128 divisors (see below), whose sum is σ = 559249920. Its totient is φ = 46502400.

The previous prime is 180342823. The next prime is 180342857. The reversal of 180342840 is 48243081.

It is an interprime number because it is at equal distance from previous prime (180342823) and next prime (180342857).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 180342798 and 180342807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519547 + ... + 519893.

It is an arithmetic number, because the mean of its divisors is an integer number (4369140).

Almost surely, 2^180342840 is an apocalyptic number.

180342840 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 180342840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279624960).

180342840 is an abundant number, since it is smaller than the sum of its proper divisors (378907080).

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

180342840 is a wasteful number, since it uses less digits than its factorization.

180342840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 180342840 is about 13429.1786792789. The cubic root of 180342840 is about 564.9798619705.

The spelling of 180342840 in words is "one hundred eighty million, three hundred forty-two thousand, eight hundred forty".