84737016 has 192 divisors, whose sum is σ = 293529600. Its totient is φ = 22301568.

The previous prime is 84736987. The next prime is 84737063. The reversal of 84737016 is 61073748.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176665 + ... + 177143.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2^84737016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84737016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146764800).

84737016 is an abundant number, since it is smaller than the sum of its proper divisors (208792584).

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

84737016 is a wasteful number, since it uses less digits than its factorization.

84737016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 84737016 is about 9205.2710986695. The cubic root of 84737016 is about 439.2290494089.

The spelling of 84737016 in words is "eighty-four million, seven hundred thirty-seven thousand, sixteen".