84640248 has 192 divisors, whose sum is σ = 298771200. Its totient is φ = 21954240.

The previous prime is 84640247. The next prime is 84640249. The reversal of 84640248 is 84204648.

84640248 is a `hidden beast` number, since 8 + 4 + 640 + 2 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (84640247) and next prime (84640249).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84640247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116061 + ... + 116787.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 2^84640248 is an apocalyptic number.

84640248 is a gapful number since it is divisible by the number (88) 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 84640248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

84640248 is an abundant number, since it is smaller than the sum of its proper divisors (214130952).

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

84640248 is a wasteful number, since it uses less digits than its factorization.

84640248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 84640248 is about 9200.0134782510. The cubic root of 84640248 is about 439.0617887545.

Subtracting from 84640248 its reverse (84204648), we obtain a square (435600 = 660²).

The spelling of 84640248 in words is "eighty-four million, six hundred forty thousand, two hundred forty-eight".