83970720 has 72 divisors (see below), whose sum is σ = 286554996. Its totient is φ = 22391808.

The previous prime is 83970713. The next prime is 83970721. The reversal of 83970720 is 2707938.

It can be written as a sum of positive squares in 2 ways, for example, as 83832336 + 138384 = 9156^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83970721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27717 + ... + 30596.

Almost surely, 2^83970720 is an apocalyptic number.

83970720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83970720 is an abundant number, since it is smaller than the sum of its proper divisors (202584276).

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

83970720 is a wasteful number, since it uses less digits than its factorization.

83970720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58334 (or 58323 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 83970720 is about 9163.5538957328. The cubic root of 83970720 is about 437.9010222338.

The spelling of 83970720 in words is "eighty-three million, nine hundred seventy thousand, seven hundred twenty".