380088560 has 80 divisors (see below), whose sum is σ = 911673792. Its totient is φ = 147302400.

The previous prime is 380088557. The next prime is 380088581. The reversal of 380088560 is 65880083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a fibodiv number, since the Fibonacci-like sequence with seeds 3800 and 88560 contains 380088560 itself.

It is a congruent number.

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, 345932 + ... + 347028.

Almost surely, 2^380088560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380088560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455836896).

380088560 is an abundant number, since it is smaller than the sum of its proper divisors (531585232).

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

380088560 is a wasteful number, since it uses less digits than its factorization.

380088560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 380088560 is about 19495.8600733592. The cubic root of 380088560 is about 724.3719078626.

The spelling of 380088560 in words is "three hundred eighty million, eighty-eight thousand, five hundred sixty".