962545680 has 200 divisors, whose sum is σ = 3382651800. Its totient is φ = 253642752.

The previous prime is 962545663. The next prime is 962545709. The reversal of 962545680 is 86545269.

It can be written as a sum of positive squares in 4 ways, for example, as 28387584 + 934158096 = 5328^2 + 30564^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 575886 + ... + 577554.

It is an arithmetic number, because the mean of its divisors is an integer number (16913259).

Almost surely, 2^962545680 is an apocalyptic number.

962545680 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 962545680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691325900).

962545680 is an abundant number, since it is smaller than the sum of its proper divisors (2420106120).

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

962545680 is a wasteful number, since it uses less digits than its factorization.

962545680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 962545680 is about 31024.9203061023. The cubic root of 962545680 is about 987.3560304989.

The spelling of 962545680 in words is "nine hundred sixty-two million, five hundred forty-five thousand, six hundred eighty".