83624720 has 20 divisors (see below), whose sum is σ = 194427660. Its totient is φ = 33449856.

The previous prime is 83624693. The next prime is 83624729. The reversal of 83624720 is 2742638.

It can be written as a sum of positive squares in 2 ways, for example, as 18079504 + 65545216 = 4252^2 + 8096^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (83624729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 522575 + ... + 522734.

It is an arithmetic number, because the mean of its divisors is an integer number (9721383).

Almost surely, 2^83624720 is an apocalyptic number.

83624720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83624720 is an abundant number, since it is smaller than the sum of its proper divisors (110802940).

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

83624720 is a wasteful number, since it uses less digits than its factorization.

83624720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045322 (or 1045316 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 83624720 is about 9144.6552696097. The cubic root of 83624720 is about 437.2987395384.

The spelling of 83624720 in words is "eighty-three million, six hundred twenty-four thousand, seven hundred twenty".