84620376 has 192 divisors, whose sum is σ = 262080000. Its totient is φ = 25474176.

The previous prime is 84620303. The next prime is 84620377. The reversal of 84620376 is 67302648.

84620376 = 174² + 175² + ... + 637².

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

It is a self number, because there is not a number n which added to its sum of digits gives 84620376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84620377) 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 47 ways as a sum of consecutive naturals, for example, 1071105 + ... + 1071183.

It is an arithmetic number, because the mean of its divisors is an integer number (1365000).

Almost surely, 2^84620376 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 84620376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040000).

84620376 is an abundant number, since it is smaller than the sum of its proper divisors (177459624).

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

84620376 is a wasteful number, since it uses less digits than its factorization.

84620376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 84620376 is about 9198.9334164348. The cubic root of 84620376 is about 439.0274248083.

The spelling of 84620376 in words is "eighty-four million, six hundred twenty thousand, three hundred seventy-six".