962481564 has 72 divisors (see below), whose sum is σ = 2666926080. Its totient is φ = 290253600.

The previous prime is 962481563. The next prime is 962481587. The reversal of 962481564 is 465184269.

962481564 is a `hidden beast` number, since 9 + 6 + 2 + 4 + 81 + 564 = 666.

It is a super-2 number, since 2×962481564² = 1852741522079772192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (962481563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77797 + ... + 89315.

It is an arithmetic number, because the mean of its divisors is an integer number (37040640).

Almost surely, 2^962481564 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 962481564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333463040).

962481564 is an abundant number, since it is smaller than the sum of its proper divisors (1704444516).

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

962481564 is a wasteful number, since it uses less digits than its factorization.

962481564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11751 (or 11746 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 962481564 is about 31023.8869905110. The cubic root of 962481564 is about 987.3341071325.

The spelling of 962481564 in words is "nine hundred sixty-two million, four hundred eighty-one thousand, five hundred sixty-four".