84729240 has 192 divisors, whose sum is σ = 298771200. Its totient is φ = 21555072.

The previous prime is 84729233. The next prime is 84729259. The reversal of 84729240 is 4292748.

It is a super-2 number, since 2×84729240² = 14358088221955200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 84729195 and 84729204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223371 + ... + 223749.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 2^84729240 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 84729240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

84729240 is an abundant number, since it is smaller than the sum of its proper divisors (214041960).

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

84729240 is a wasteful number, since it uses less digits than its factorization.

84729240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 412 counting only the distinct ones).

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

The square root of 84729240 is about 9204.8487222768. The cubic root of 84729240 is about 439.2156135272.

The spelling of 84729240 in words is "eighty-four million, seven hundred twenty-nine thousand, two hundred forty".