84963760 has 80 divisors (see below), whose sum is σ = 227324736. Its totient is φ = 28929024.

The previous prime is 84963737. The next prime is 84963779. The reversal of 84963760 is 6736948.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96442 + ... + 97318.

Almost surely, 2^84963760 is an apocalyptic number.

84963760 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 84963760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113662368).

84963760 is an abundant number, since it is smaller than the sum of its proper divisors (142360976).

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

84963760 is a wasteful number, since it uses less digits than its factorization.

84963760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 84963760 is about 9217.5788578129. The cubic root of 84963760 is about 439.6204716245.

The spelling of 84963760 in words is "eighty-four million, nine hundred sixty-three thousand, seven hundred sixty".