83578152 has 64 divisors (see below), whose sum is σ = 239546880. Its totient is φ = 23804352.

The previous prime is 83578151. The next prime is 83578163. The reversal of 83578152 is 25187538.

It is a self number, because there is not a number n which added to its sum of digits gives 83578152.

It is not an unprimeable number, because it can be changed into a prime (83578151) 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, 73863 + ... + 74985.

It is an arithmetic number, because the mean of its divisors is an integer number (3742920).

Almost surely, 2^83578152 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 83578152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119773440).

83578152 is an abundant number, since it is smaller than the sum of its proper divisors (155968728).

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

83578152 is a wasteful number, since it uses less digits than its factorization.

83578152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1578 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 83578152 is about 9142.1087282968. The cubic root of 83578152 is about 437.2175517871.

It can be divided in two parts, 835 and 78152, that added together give a palindrome (78987).

The spelling of 83578152 in words is "eighty-three million, five hundred seventy-eight thousand, one hundred fifty-two".