84729645 has 240 divisors, whose sum is σ = 216289920. Its totient is φ = 30792960.

The previous prime is 84729641. The next prime is 84729647. The reversal of 84729645 is 54692748.

It is a happy number.

It is not a de Polignac number, because 84729645 - 2² = 84729641 is a prime.

It is a super-3 number, since 3×84729645³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 84729645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84729641) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4459446 + ... + 4459464.

It is an arithmetic number, because the mean of its divisors is an integer number (901208).

Almost surely, 2^84729645 is an apocalyptic number.

It is an amenable number.

84729645 is an abundant number, since it is smaller than the sum of its proper divisors (131560275).

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

84729645 is a wasteful number, since it uses less digits than its factorization.

84729645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 84729645 is about 9204.8707215256. The cubic root of 84729645 is about 439.2163133330.

84729645 divided by its sum of digits (45) gives a palindrome (1882881).

The spelling of 84729645 in words is "eighty-four million, seven hundred twenty-nine thousand, six hundred forty-five".