84529440 has 192 divisors, whose sum is σ = 313528320. Its totient is φ = 21196800.

The previous prime is 84529427. The next prime is 84529451. The reversal of 84529440 is 4492548.

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 = 84529395 and 84529404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72865 + ... + 74015.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 2^84529440 is an apocalyptic number.

84529440 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 84529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

84529440 is an abundant number, since it is smaller than the sum of its proper divisors (228998880).

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

84529440 is a wasteful number, since it uses less digits than its factorization.

84529440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 84529440 is about 9193.9893408683. The cubic root of 84529440 is about 438.8701037258.

The spelling of 84529440 in words is "eighty-four million, five hundred twenty-nine thousand, four hundred forty".