962161920 has 270 divisors, whose sum is σ = 3537038778. Its totient is φ = 241483776.

The previous prime is 962161877. The next prime is 962161961. The reversal of 962161920 is 29161269.

962161920 is a `hidden beast` number, since 9 + 621 + 6 + 1 + 9 + 20 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 15492096 + 946669824 = 3936^2 + 30768^2 .

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 29 ways as a sum of consecutive naturals, for example, 56597752 + ... + 56597768.

Almost surely, 2^962161920 is an apocalyptic number.

962161920 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 962161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768519389).

962161920 is an abundant number, since it is smaller than the sum of its proper divisors (2574876858).

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

962161920 is an frugal number, since it uses more digits than its factorization.

962161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 962161920 is about 31018.7349838771. The cubic root of 962161920 is about 987.2247958208.

The spelling of 962161920 in words is "nine hundred sixty-two million, one hundred sixty-one thousand, nine hundred twenty".