962400960 has 448 divisors, whose sum is σ = 3686860800. Its totient is φ = 235597824.

The previous prime is 962400941. The next prime is 962400973. The reversal of 962400960 is 69004269.

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

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 63 ways as a sum of consecutive naturals, for example, 5762797 + ... + 5762963.

It is an arithmetic number, because the mean of its divisors is an integer number (8229600).

Almost surely, 2^962400960 is an apocalyptic number.

962400960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 962400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843430400).

962400960 is an abundant number, since it is smaller than the sum of its proper divisors (2724459840).

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

962400960 is a wasteful number, since it uses less digits than its factorization.

962400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 962400960 is about 31022.5878997868. The cubic root of 962400960 is about 987.3065445959.

The spelling of 962400960 in words is "nine hundred sixty-two million, four hundred thousand, nine hundred sixty".