84776832 has 96 divisors (see below), whose sum is σ = 278831280. Its totient is φ = 24219648.

The previous prime is 84776819. The next prime is 84776843. The reversal of 84776832 is 23867748.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×84776832² = 14374222487912448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2808 + ... + 13320.

Almost surely, 2^84776832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84776832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139415640).

84776832 is an abundant number, since it is smaller than the sum of its proper divisors (194054448).

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

84776832 is a wasteful number, since it uses less digits than its factorization.

84776832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10540 (or 10525 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 84776832 is about 9207.4335186305. The cubic root of 84776832 is about 439.2978332228.

The spelling of 84776832 in words is "eighty-four million, seven hundred seventy-six thousand, eight hundred thirty-two".