84007962 has 64 divisors (see below), whose sum is σ = 192021120. Its totient is φ = 27216000.

The previous prime is 84007961. The next prime is 84007967. The reversal of 84007962 is 26970048.

It is not an unprimeable number, because it can be changed into a prime (84007961) 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 31 ways as a sum of consecutive naturals, for example, 398037 + ... + 398247.

It is an arithmetic number, because the mean of its divisors is an integer number (3000330).

Almost surely, 2^84007962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84007962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96010560).

84007962 is an abundant number, since it is smaller than the sum of its proper divisors (108013158).

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

84007962 is a wasteful number, since it uses less digits than its factorization.

84007962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

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

The square root of 84007962 is about 9165.5857423298. The cubic root of 84007962 is about 437.9657507466.

The spelling of 84007962 in words is "eighty-four million, seven thousand, nine hundred sixty-two".