83263464 has 64 divisors (see below), whose sum is σ = 234192000. Its totient is φ = 27748656.

The previous prime is 83263463. The next prime is 83263471. The reversal of 83263464 is 46436238.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (83263463) 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, 15117 + ... + 19875.

It is an arithmetic number, because the mean of its divisors is an integer number (3659250).

Almost surely, 2^83263464 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 83263464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117096000).

83263464 is an abundant number, since it is smaller than the sum of its proper divisors (150928536).

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

83263464 is an equidigital number, since it uses as much as digits as its factorization.

83263464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786 (or 4764 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 83263464 is about 9124.8815882728. The cubic root of 83263464 is about 436.6681252663.

The spelling of 83263464 in words is "eighty-three million, two hundred sixty-three thousand, four hundred sixty-four".