83400240 has 160 divisors (see below), whose sum is σ = 322407936. Its totient is φ = 17326080.

The previous prime is 83400227. The next prime is 83400293. The reversal of 83400240 is 4200438.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16224 + ... + 20736.

Almost surely, 2^83400240 is an apocalyptic number.

83400240 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 83400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161203968).

83400240 is an abundant number, since it is smaller than the sum of its proper divisors (239007696).

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

83400240 is a wasteful number, since it uses less digits than its factorization.

83400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 83400240 is about 9132.3731855416. The cubic root of 83400240 is about 436.9070978113.

Adding to 83400240 its reverse (4200438), we get a palindrome (87600678).

The spelling of 83400240 in words is "eighty-three million, four hundred thousand, two hundred forty".