84358720 has 28 divisors (see below), whose sum is σ = 200879964. Its totient is φ = 33743360.

The previous prime is 84358711. The next prime is 84358723. The reversal of 84358720 is 2785348.

It can be written as a sum of positive squares in 2 ways, for example, as 60466176 + 23892544 = 7776^2 + 4888^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 84358720.

It is not an unprimeable number, because it can be changed into a prime (84358723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131491 + ... + 132130.

Almost surely, 2^84358720 is an apocalyptic number.

84358720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84358720 is an abundant number, since it is smaller than the sum of its proper divisors (116521244).

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

84358720 is a wasteful number, since it uses less digits than its factorization.

84358720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263638 (or 263628 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 84358720 is about 9184.7003217307. The cubic root of 84358720 is about 438.5744497270.

It can be divided in two parts, 84358 and 720, that added together give a triangular number (85078 = T₄₁₂).

The spelling of 84358720 in words is "eighty-four million, three hundred fifty-eight thousand, seven hundred twenty".