70966368 has 240 divisors, whose sum is σ = 241496640. Its totient is φ = 20217600.

The previous prime is 70966351. The next prime is 70966369. The reversal of 70966368 is 86366907.

70966368 is a `hidden beast` number, since 7 + 0 + 9 + 6 + 636 + 8 = 666.

It is a super-2 number, since 2×70966368² = 10072450774222848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70966369) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 541663 + ... + 541793.

It is an arithmetic number, because the mean of its divisors is an integer number (1006236).

Almost surely, 2^70966368 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 70966368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120748320).

70966368 is an abundant number, since it is smaller than the sum of its proper divisors (170530272).

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

70966368 is a wasteful number, since it uses less digits than its factorization.

70966368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 70966368 is about 8424.1538447490. The cubic root of 70966368 is about 414.0163824645.

The spelling of 70966368 in words is "seventy million, nine hundred sixty-six thousand, three hundred sixty-eight".