84566416 has 75 divisors (see below), whose sum is σ = 190216155. Its totient is φ = 36416160.

The previous prime is 84566393. The next prime is 84566431. The reversal of 84566416 is 61466548.

84566416 = T₄₉₃ + T₄₉₄ + ... + T₈₅₅.

84566416 = 304² + 305² + ... + 655².

It is a happy number.

The square root of 84566416 is 9196.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (138240) is a multiple of the sum of its prime divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4450855 + ... + 4450873.

Almost surely, 2^84566416 is an apocalyptic number.

84566416 is the 9196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84566416

84566416 is an abundant number, since it is smaller than the sum of its proper divisors (105649739).

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

84566416 is an equidigital number, since it uses as much as digits as its factorization.

84566416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 32 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The cubic root of 84566416 is about 438.9340865439.

The spelling of 84566416 in words is "eighty-four million, five hundred sixty-six thousand, four hundred sixteen".