83949264 has 320 divisors, whose sum is σ = 308551680. Its totient is φ = 21288960.

The previous prime is 83949259. The next prime is 83949301. The reversal of 83949264 is 46294938.

It is a super-2 number, since 2×83949264² = 14094957852283392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1182349 + ... + 1182419.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 2^83949264 is an apocalyptic number.

83949264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83949264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

83949264 is an abundant number, since it is smaller than the sum of its proper divisors (224602416).

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

83949264 is a wasteful number, since it uses less digits than its factorization.

83949264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 83949264 is about 9162.3830961164. The cubic root of 83949264 is about 437.8637219117.

The spelling of 83949264 in words is "eighty-three million, nine hundred forty-nine thousand, two hundred sixty-four".