83554560 has 108 divisors (see below), whose sum is σ = 289129932. Its totient is φ = 22278144.

The previous prime is 83554531. The next prime is 83554591. The reversal of 83554560 is 6545538.

It can be written as a sum of positive squares in 2 ways, for example, as 45805824 + 37748736 = 6768^2 + 6144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7894 + ... + 15146.

It is an arithmetic number, because the mean of its divisors is an integer number (2677129).

Almost surely, 2^83554560 is an apocalyptic number.

83554560 is a gapful number since it is divisible by the number (80) 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 83554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144564966).

83554560 is an abundant number, since it is smaller than the sum of its proper divisors (205575372).

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

83554560 is a wasteful number, since it uses less digits than its factorization.

83554560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7280 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 83554560 is about 9140.8183441090. The cubic root of 83554560 is about 437.1764094274.

The spelling of 83554560 in words is "eighty-three million, five hundred fifty-four thousand, five hundred sixty".