84029940 has 96 divisors (see below), whose sum is σ = 265816320. Its totient is φ = 22032000.

The previous prime is 84029873. The next prime is 84029941. The reversal of 84029940 is 4992048.

It is a happy number.

It is a super-2 number, since 2×84029940² = 14122061632807200, 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 = 84029895 and 84029904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84029941) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31665 + ... + 34215.

It is an arithmetic number, because the mean of its divisors is an integer number (2768920).

Almost surely, 2^84029940 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 84029940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132908160).

84029940 is an abundant number, since it is smaller than the sum of its proper divisors (181786380).

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

84029940 is a wasteful number, since it uses less digits than its factorization.

84029940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 84029940 is about 9166.7846053019. The cubic root of 84029940 is about 438.0039406664.

The spelling of 84029940 in words is "eighty-four million, twenty-nine thousand, nine hundred forty".