70536960 has 288 divisors, whose sum is σ = 271279680. Its totient is φ = 17252352.

The previous prime is 70536941. The next prime is 70536971. The reversal of 70536960 is 6963507.

70536960 = T₃₇₆ + T₃₇₇ + ... + T₇₈₀.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 449202 + ... + 449358.

Almost surely, 2^70536960 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 70536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135639840).

70536960 is an abundant number, since it is smaller than the sum of its proper divisors (200742720).

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

70536960 is a wasteful number, since it uses less digits than its factorization.

70536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 70536960 is about 8398.6284594569. The cubic root of 70536960 is about 413.1796399327.

The spelling of 70536960 in words is "seventy million, five hundred thirty-six thousand, nine hundred sixty".