84195720 has 384 divisors, whose sum is σ = 343094400. Its totient is φ = 18289152.

The previous prime is 84195703. The next prime is 84195737. The reversal of 84195720 is 2759148.

84195720 is a `hidden beast` number, since 84 + 1 + 9 + 572 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84195703) and next prime (84195737).

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 95 ways as a sum of consecutive naturals, for example, 1958019 + ... + 1958061.

It is an arithmetic number, because the mean of its divisors is an integer number (893475).

Almost surely, 2^84195720 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 84195720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171547200).

84195720 is an abundant number, since it is smaller than the sum of its proper divisors (258898680).

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

84195720 is a wasteful number, since it uses less digits than its factorization.

84195720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 84195720 is about 9175.8225789299. The cubic root of 84195720 is about 438.2917928060.

The spelling of 84195720 in words is "eighty-four million, one hundred ninety-five thousand, seven hundred twenty".