70971120 has 320 divisors, whose sum is σ = 278553600. Its totient is φ = 16450560.

The previous prime is 70971097. The next prime is 70971139. The reversal of 70971120 is 2117907.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 688989 + ... + 689091.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 2^70971120 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 70971120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139276800).

70971120 is an abundant number, since it is smaller than the sum of its proper divisors (207582480).

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

70971120 is a wasteful number, since it uses less digits than its factorization.

70971120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 70971120 is about 8424.4358861588. The cubic root of 70971120 is about 414.0256232828.

The spelling of 70971120 in words is "seventy million, nine hundred seventy-one thousand, one hundred twenty".