84162276 has 81 divisors (see below), whose sum is σ = 235536483. Its totient is φ = 25320240.

The previous prime is 84162269. The next prime is 84162301. The reversal of 84162276 is 67226148.

The square root of 84162276 is 9174.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 84162276.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 605415 + ... + 605553.

Almost surely, 2^84162276 is an apocalyptic number.

84162276 is the 9174-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84162276

84162276 is an abundant number, since it is smaller than the sum of its proper divisors (151374207).

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

84162276 is a wasteful number, since it uses less digits than its factorization.

84162276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 155 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The cubic root of 84162276 is about 438.2337527536.

Multiplying 84162276 by its sum of digits (36), we get a square (3029841936 = 55044²).

84162276 divided by its sum of digits (36) gives a square (2337841 = 1529²).

The spelling of 84162276 in words is "eighty-four million, one hundred sixty-two thousand, two hundred seventy-six".