962006112 has 96 divisors (see below), whose sum is σ = 2852004960. Its totient is φ = 315394560.

The previous prime is 962006093. The next prime is 962006137. The reversal of 962006112 is 211600269.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43578 + ... + 61830.

It is an arithmetic number, because the mean of its divisors is an integer number (29708385).

Almost surely, 2^962006112 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 962006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426002480).

962006112 is an abundant number, since it is smaller than the sum of its proper divisors (1889998848).

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

962006112 is a wasteful number, since it uses less digits than its factorization.

962006112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18333 (or 18319 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 962006112 is about 31016.2233677796. The cubic root of 962006112 is about 987.1715040892.

The spelling of 962006112 in words is "nine hundred sixty-two million, six thousand, one hundred twelve".