962606880 has 288 divisors, whose sum is σ = 3495623040. Its totient is φ = 240537600.

The previous prime is 962606873. The next prime is 962606903. The reversal of 962606880 is 88606269.

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

It is a super-2 number, since 2×962606880² = 1853224010846668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4131244 + ... + 4131476.

It is an arithmetic number, because the mean of its divisors is an integer number (12137580).

Almost surely, 2^962606880 is an apocalyptic number.

962606880 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 962606880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747811520).

962606880 is an abundant number, since it is smaller than the sum of its proper divisors (2533016160).

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

962606880 is a wasteful number, since it uses less digits than its factorization.

962606880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 962606880 is about 31025.9065943286. The cubic root of 962606880 is about 987.3769558810.

The spelling of 962606880 in words is "nine hundred sixty-two million, six hundred six thousand, eight hundred eighty".