83962788 has 96 divisors (see below), whose sum is σ = 251682816. Its totient is φ = 21174912.

The previous prime is 83962783. The next prime is 83962799. The reversal of 83962788 is 88726938.

It is a self number, because there is not a number n which added to its sum of digits gives 83962788.

It is not an unprimeable number, because it can be changed into a prime (83962783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23445 + ... + 26787.

It is an arithmetic number, because the mean of its divisors is an integer number (2621696).

Almost surely, 2^83962788 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 83962788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125841408).

83962788 is an abundant number, since it is smaller than the sum of its proper divisors (167720028).

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

83962788 is a wasteful number, since it uses less digits than its factorization.

83962788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3391 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 83962788 is about 9163.1210839975. The cubic root of 83962788 is about 437.8872335374.

The spelling of 83962788 in words is "eighty-three million, nine hundred sixty-two thousand, seven hundred eighty-eight".