83526660 has 192 divisors, whose sum is σ = 312883200. Its totient is φ = 18071424.

The previous prime is 83526643. The next prime is 83526691. The reversal of 83526660 is 6662538.

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 63 ways as a sum of consecutive naturals, for example, 71239 + ... + 72401.

It is an arithmetic number, because the mean of its divisors is an integer number (1629600).

Almost surely, 2^83526660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83526660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156441600).

83526660 is an abundant number, since it is smaller than the sum of its proper divisors (229356540).

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

83526660 is a wasteful number, since it uses less digits than its factorization.

83526660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 83526660 is about 9139.2920951242. The cubic root of 83526660 is about 437.1277443009.

It can be divided in two parts, 835 and 26660, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 83526660 in words is "eighty-three million, five hundred twenty-six thousand, six hundred sixty".