84029760 has 168 divisors, whose sum is σ = 292425120. Its totient is φ = 22146048.

The previous prime is 84029753. The next prime is 84029779. The reversal of 84029760 is 6792048.

It is a super-2 number, since 2×84029760² = 14122001131315200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469351 + ... + 469529.

Almost surely, 2^84029760 is an apocalyptic number.

84029760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146212560).

84029760 is an abundant number, since it is smaller than the sum of its proper divisors (208395360).

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

84029760 is a wasteful number, since it uses less digits than its factorization.

84029760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 84029760 is about 9166.7747872411. The cubic root of 84029760 is about 438.0036279177.

The spelling of 84029760 in words is "eighty-four million, twenty-nine thousand, seven hundred sixty".