962206560 has 384 divisors, whose sum is σ = 3936522240. Its totient is φ = 214935552.

The previous prime is 962206529. The next prime is 962206561. The reversal of 962206560 is 65602269.

962206560 is a `hidden beast` number, since 96 + 2 + 2 + 0 + 6 + 560 = 666.

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 (962206561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1420942 + ... + 1421618.

It is an arithmetic number, because the mean of its divisors is an integer number (10251360).

Almost surely, 2^962206560 is an apocalyptic number.

962206560 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 962206560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968261120).

962206560 is an abundant number, since it is smaller than the sum of its proper divisors (2974315680).

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

962206560 is a wasteful number, since it uses less digits than its factorization.

962206560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 962206560 is about 31019.4545406588. The cubic root of 962206560 is about 987.2400631864.

The spelling of 962206560 in words is "nine hundred sixty-two million, two hundred six thousand, five hundred sixty".