84082464 has 72 divisors (see below), whose sum is σ = 240579612. Its totient is φ = 27855360.

The previous prime is 84082451. The next prime is 84082487. The reversal of 84082464 is 46428048.

84082464 is a `hidden beast` number, since 8 + 408 + 246 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77792400 + 6290064 = 8820^2 + 2508^2 .

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

It is a super-2 number, since 2×84082464² = 14139721504622592, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51322 + ... + 52934.

Almost surely, 2^84082464 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 84082464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120289806).

84082464 is an abundant number, since it is smaller than the sum of its proper divisors (156497148).

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

84082464 is a wasteful number, since it uses less digits than its factorization.

84082464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 84082464 is about 9169.6490663493. The cubic root of 84082464 is about 438.0951816665.

The spelling of 84082464 in words is "eighty-four million, eighty-two thousand, four hundred sixty-four".