70848000 has 320 divisors, whose sum is σ = 268107840. Its totient is φ = 18432000.

The previous prime is 70847999. The next prime is 70848059. The reversal of 70848000 is 84807.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1727980 + ... + 1728020.

It is an arithmetic number, because the mean of its divisors is an integer number (837837).

Almost surely, 2^70848000 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 70848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

70848000 is an abundant number, since it is smaller than the sum of its proper divisors (197259840).

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

70848000 is an equidigital number, since it uses as much as digits as its factorization.

70848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 70848000 is about 8417.1254000401. The cubic root of 70848000 is about 413.7860688459.

The spelling of 70848000 in words is "seventy million, eight hundred forty-eight thousand".