70761168 has 160 divisors (see below), whose sum is σ = 220521600. Its totient is φ = 21648384.

The previous prime is 70761161. The next prime is 70761181. The reversal of 70761168 is 86116707.

It is a happy number.

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 (70761161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303580 + ... + 303812.

It is an arithmetic number, because the mean of its divisors is an integer number (1378260).

Almost surely, 2^70761168 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 70761168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110260800).

70761168 is an abundant number, since it is smaller than the sum of its proper divisors (149760432).

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

70761168 is a wasteful number, since it uses less digits than its factorization.

70761168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 70761168 is about 8411.9657631258. The cubic root of 70761168 is about 413.6169529894.

The spelling of 70761168 in words is "seventy million, seven hundred sixty-one thousand, one hundred sixty-eight".