84416640 has 256 divisors, whose sum is σ = 336061440. Its totient is φ = 17510400.

The previous prime is 84416621. The next prime is 84416659. The reversal of 84416640 is 4661448.

It is an interprime number because it is at equal distance from previous prime (84416621) and next prime (84416659).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147555 + ... + 148125.

It is an arithmetic number, because the mean of its divisors is an integer number (1312740).

Almost surely, 2^84416640 is an apocalyptic number.

84416640 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 84416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168030720).

84416640 is an abundant number, since it is smaller than the sum of its proper divisors (251644800).

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

84416640 is a wasteful number, since it uses less digits than its factorization.

84416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 84416640 is about 9187.8528503672. The cubic root of 84416640 is about 438.6748006281.

The spelling of 84416640 in words is "eighty-four million, four hundred sixteen thousand, six hundred forty".