83947680 has 144 divisors (see below), whose sum is σ = 289906344. Its totient is φ = 22118400.

The previous prime is 83947679. The next prime is 83947729. The reversal of 83947680 is 8674938.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76527504 + 7420176 = 8748^2 + 2724^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139380 + ... + 139980.

Almost surely, 2^83947680 is an apocalyptic number.

83947680 is a gapful number since it is divisible by the number (80) 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 83947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144953172).

83947680 is an abundant number, since it is smaller than the sum of its proper divisors (205958664).

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

83947680 is a wasteful number, since it uses less digits than its factorization.

83947680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 83947680 is about 9162.2966553152. The cubic root of 83947680 is about 437.8609679448.

The spelling of 83947680 in words is "eighty-three million, nine hundred forty-seven thousand, six hundred eighty".