80369640 has 144 divisors (see below), whose sum is σ = 283053420. Its totient is φ = 19768320.

The previous prime is 80369629. The next prime is 80369651. The reversal of 80369640 is 4696308.

80369640 is a `hidden beast` number, since 8 + 0 + 3 + 6 + 9 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (80369629) and next prime (80369651).

It can be written as a sum of positive squares in 6 ways, for example, as 24029604 + 56340036 = 4902^2 + 7506^2 .

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 = 80369595 and 80369604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60180 + ... + 61500.

Almost surely, 2^80369640 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 80369640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141526710).

80369640 is an abundant number, since it is smaller than the sum of its proper divisors (202683780).

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

80369640 is a wasteful number, since it uses less digits than its factorization.

80369640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 80369640 is about 8964.9116002334. The cubic root of 80369640 is about 431.5495562084.

The spelling of 80369640 in words is "eighty million, three hundred sixty-nine thousand, six hundred forty".