83766552 has 64 divisors (see below), whose sum is σ = 219732480. Its totient is φ = 26560512.

The previous prime is 83766517. The next prime is 83766559. The reversal of 83766552 is 25566738.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83766559) 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, 144888 + ... + 145464.

It is an arithmetic number, because the mean of its divisors is an integer number (3433320).

Almost surely, 2^83766552 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 83766552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109866240).

83766552 is an abundant number, since it is smaller than the sum of its proper divisors (135965928).

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

83766552 is a wasteful number, since it uses less digits than its factorization.

83766552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 83766552 is about 9152.4068965491. The cubic root of 83766552 is about 437.5458272539.

The spelling of 83766552 in words is "eighty-three million, seven hundred sixty-six thousand, five hundred fifty-two".