180374040 has 384 divisors, whose sum is σ = 761080320. Its totient is φ = 37324800.

The previous prime is 180374039. The next prime is 180374071. The reversal of 180374040 is 40473081.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 180373995 and 180374013.

It is a congruent number.

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, 748320 + ... + 748560.

It is an arithmetic number, because the mean of its divisors is an integer number (1981980).

Almost surely, 2^180374040 is an apocalyptic number.

180374040 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 180374040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380540160).

180374040 is an abundant number, since it is smaller than the sum of its proper divisors (580706280).

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

180374040 is a wasteful number, since it uses less digits than its factorization.

180374040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 180374040 is about 13430.3402786378. The cubic root of 180374040 is about 565.0124413163.

The spelling of 180374040 in words is "one hundred eighty million, three hundred seventy-four thousand, forty".