84771456 has 256 divisors, whose sum is σ = 291409920. Its totient is φ = 21196800.

The previous prime is 84771451. The next prime is 84771457. The reversal of 84771456 is 65417748.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84771451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1389666 + ... + 1389726.

It is an arithmetic number, because the mean of its divisors is an integer number (1138320).

Almost surely, 2^84771456 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 84771456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145704960).

84771456 is an abundant number, since it is smaller than the sum of its proper divisors (206638464).

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

84771456 is a wasteful number, since it uses less digits than its factorization.

84771456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 84771456 is about 9207.1415759724. The cubic root of 84771456 is about 439.2885472146.

The spelling of 84771456 in words is "eighty-four million, seven hundred seventy-one thousand, four hundred fifty-six".