962261664 has 288 divisors, whose sum is σ = 3224430720. Its totient is φ = 245846016.

The previous prime is 962261609. The next prime is 962261683. The reversal of 962261664 is 466162269.

962261664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4201902 + ... + 4202130.

It is an arithmetic number, because the mean of its divisors is an integer number (11195940).

Almost surely, 2^962261664 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 962261664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612215360).

962261664 is an abundant number, since it is smaller than the sum of its proper divisors (2262169056).

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

962261664 is a wasteful number, since it uses less digits than its factorization.

962261664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 962261664 is about 31020.3427447216. The cubic root of 962261664 is about 987.2589087026.

The spelling of 962261664 in words is "nine hundred sixty-two million, two hundred sixty-one thousand, six hundred sixty-four".