83657440 has 96 divisors (see below), whose sum is σ = 209018880. Its totient is φ = 31578624.

The previous prime is 83657423. The next prime is 83657447. The reversal of 83657440 is 4475638.

It is a self number, because there is not a number n which added to its sum of digits gives 83657440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83657447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467271 + ... + 467449.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 2^83657440 is an apocalyptic number.

83657440 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 83657440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

83657440 is an abundant number, since it is smaller than the sum of its proper divisors (125361440).

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

83657440 is a wasteful number, since it uses less digits than its factorization.

83657440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 83657440 is about 9146.4441177979. Note that the first 3 decimals coincide. The cubic root of 83657440 is about 437.3557663323.

The spelling of 83657440 in words is "eighty-three million, six hundred fifty-seven thousand, four hundred forty".