70392960 has 288 divisors, whose sum is σ = 269827740. Its totient is φ = 16896000.

The previous prime is 70392943. The next prime is 70392961. The reversal of 70392960 is 6929307.

It can be written as a sum of positive squares in 2 ways, for example, as 66977856 + 3415104 = 8184^2 + 1848^2 .

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 not an unprimeable number, because it can be changed into a prime (70392961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696910 + ... + 697010.

Almost surely, 2^70392960 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 70392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134913870).

70392960 is an abundant number, since it is smaller than the sum of its proper divisors (199434780).

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

70392960 is a wasteful number, since it uses less digits than its factorization.

70392960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 70392960 is about 8390.0512513333. The cubic root of 70392960 is about 412.8982819889.

It can be divided in two parts, 7039 and 2960, that added together give a palindrome (9999).

The spelling of 70392960 in words is "seventy million, three hundred ninety-two thousand, nine hundred sixty".