365998080 has 416 divisors, whose sum is σ = 1434276864. Its totient is φ = 77856768.

The previous prime is 365998051. The next prime is 365998093. The reversal of 365998080 is 80899563.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 9891822 + ... + 9891858.

Almost surely, 2^365998080 is an apocalyptic number.

365998080 is a gapful number since it is divisible by the number (30) 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 365998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717138432).

365998080 is an abundant number, since it is smaller than the sum of its proper divisors (1068278784).

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

365998080 is a wasteful number, since it uses less digits than its factorization.

365998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 365998080 is about 19131.0762896393. The cubic root of 365998080 is about 715.3077586883.

The spelling of 365998080 in words is "three hundred sixty-five million, nine hundred ninety-eight thousand, eighty".