83540000 has 60 divisors (see below), whose sum is σ = 205570134. Its totient is φ = 33408000.

The previous prime is 83539909. The next prime is 83540003. The reversal of 83540000 is 4538.

It can be written as a sum of positive squares in 5 ways, for example, as 10471696 + 73068304 = 3236^2 + 8548^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83540003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17912 + ... + 22088.

Almost surely, 2^83540000 is an apocalyptic number.

83540000 is a gapful number since it is divisible by the number (80) 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 83540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102785067).

83540000 is an abundant number, since it is smaller than the sum of its proper divisors (122030134).

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

83540000 is an equidigital number, since it uses as much as digits as its factorization.

83540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4207 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 83540000 is about 9140.0218818119. The cubic root of 83540000 is about 437.1510142114.

Adding to 83540000 its reverse (4538), we get a palindrome (83544538).

The spelling of 83540000 in words is "eighty-three million, five hundred forty thousand".