84629052 has 72 divisors (see below), whose sum is σ = 224864640. Its totient is φ = 26785440.

The previous prime is 84629003. The next prime is 84629057. The reversal of 84629052 is 25092648.

It is a happy number.

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 = 84628998 and 84629016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84629057) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 147927 + ... + 148497.

It is an arithmetic number, because the mean of its divisors is an integer number (3123120).

Almost surely, 2^84629052 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 84629052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112432320).

84629052 is an abundant number, since it is smaller than the sum of its proper divisors (140235588).

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

84629052 is a wasteful number, since it uses less digits than its factorization.

84629052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 84629052 is about 9199.4049807583. The cubic root of 84629052 is about 439.0424285696.

The spelling of 84629052 in words is "eighty-four million, six hundred twenty-nine thousand, fifty-two".