83450724 has 72 divisors (see below), whose sum is σ = 227717280. Its totient is φ = 23716224.

The previous prime is 83450683. The next prime is 83450737. The reversal of 83450724 is 42705438.

83450724 = 232² + 233² + ... + 640².

It is a super-2 number, since 2×83450724² = 13928046672248352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203832 + ... + 204240.

It is an arithmetic number, because the mean of its divisors is an integer number (3162740).

Almost surely, 2^83450724 is an apocalyptic number.

83450724 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 83450724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113858640).

83450724 is an abundant number, since it is smaller than the sum of its proper divisors (144266556).

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

83450724 is a wasteful number, since it uses less digits than its factorization.

83450724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 83450724 is about 9135.1367805852. The cubic root of 83450724 is about 436.9952365222.

The spelling of 83450724 in words is "eighty-three million, four hundred fifty thousand, seven hundred twenty-four".