83661552 has 80 divisors (see below), whose sum is σ = 258629280. Its totient is φ = 25740288.

The previous prime is 83661527. The next prime is 83661559. The reversal of 83661552 is 25516638.

83661552 is a `hidden beast` number, since 8 + 36 + 615 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83661559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1833 + ... + 13064.

It is an arithmetic number, because the mean of its divisors is an integer number (3232866).

Almost surely, 2^83661552 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 83661552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129314640).

83661552 is an abundant number, since it is smaller than the sum of its proper divisors (174967728).

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

83661552 is a wasteful number, since it uses less digits than its factorization.

83661552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14927 (or 14915 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 83661552 is about 9146.6689018462. The cubic root of 83661552 is about 437.3629319729.

The spelling of 83661552 in words is "eighty-three million, six hundred sixty-one thousand, five hundred fifty-two".