84357680 has 80 divisors (see below), whose sum is σ = 215370144. Its totient is φ = 30474240.

The previous prime is 84357677. The next prime is 84357683. The reversal of 84357680 is 8675348.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84357677) and next prime (84357683).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (84357683) 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, 225974 + ... + 226346.

Almost surely, 2^84357680 is an apocalyptic number.

84357680 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 84357680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107685072).

84357680 is an abundant number, since it is smaller than the sum of its proper divisors (131012464).

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

84357680 is a wasteful number, since it uses less digits than its factorization.

84357680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 84357680 is about 9184.6437056644. The cubic root of 84357680 is about 438.5726474265.

The spelling of 84357680 in words is "eighty-four million, three hundred fifty-seven thousand, six hundred eighty".