962282880 has 384 divisors, whose sum is σ = 3648939840. Its totient is φ = 232243200.

The previous prime is 962282879. The next prime is 962282887. The reversal of 962282880 is 88282269.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×962282880² = 1851976682282188800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (962282887) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5316390 + ... + 5316570.

Almost surely, 2^962282880 is an apocalyptic number.

962282880 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 962282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824469920).

962282880 is an abundant number, since it is smaller than the sum of its proper divisors (2686656960).

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

962282880 is a wasteful number, since it uses less digits than its factorization.

962282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 962282880 is about 31020.6847119789. The cubic root of 962282880 is about 987.2661643629.

The spelling of 962282880 in words is "nine hundred sixty-two million, two hundred eighty-two thousand, eight hundred eighty".