84071460 has 192 divisors, whose sum is σ = 278691840. Its totient is φ = 18708480.

The previous prime is 84071431. The next prime is 84071461. The reversal of 84071460 is 6417048.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (84071461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 661917 + ... + 662043.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 2^84071460 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 84071460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

84071460 is an abundant number, since it is smaller than the sum of its proper divisors (194620380).

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

84071460 is a wasteful number, since it uses less digits than its factorization.

84071460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 84071460 is about 9169.0490237538. The cubic root of 84071460 is about 438.0760694384.

The spelling of 84071460 in words is "eighty-four million, seventy-one thousand, four hundred sixty".