962552160 has 288 divisors, whose sum is σ = 3588399360. Its totient is φ = 242984448.

The previous prime is 962552159. The next prime is 962552161. The reversal of 962552160 is 61255269.

962552160 is a `hidden beast` number, since 9 + 625 + 5 + 21 + 6 + 0 = 666.

962552160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (962552159) and next prime (962552161).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (962552161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738069 + ... + 739371.

It is an arithmetic number, because the mean of its divisors is an integer number (12459720).

Almost surely, 2^962552160 is an apocalyptic number.

962552160 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 962552160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794199680).

962552160 is an abundant number, since it is smaller than the sum of its proper divisors (2625847200).

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

962552160 is a wasteful number, since it uses less digits than its factorization.

962552160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 962552160 is about 31025.0247381046. The cubic root of 962552160 is about 987.3582461696.

The spelling of 962552160 in words is "nine hundred sixty-two million, five hundred fifty-two thousand, one hundred sixty".