70735680 has 140 divisors (see below), whose sum is σ = 251711460. Its totient is φ = 18855936.

The previous prime is 70735663. The next prime is 70735723. The reversal of 70735680 is 8653707.

It can be written as a sum of positive squares in 2 ways, for example, as 50808384 + 19927296 = 7128^2 + 4464^2 .

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 19 ways as a sum of consecutive naturals, for example, 24556 + ... + 27284.

It is an arithmetic number, because the mean of its divisors is an integer number (1797939).

Almost surely, 2^70735680 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 70735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125855730).

70735680 is an abundant number, since it is smaller than the sum of its proper divisors (180975780).

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

70735680 is a wasteful number, since it uses less digits than its factorization.

70735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 70735680 is about 8410.4506419097. The cubic root of 70735680 is about 413.5672857533.

The spelling of 70735680 in words is "seventy million, seven hundred thirty-five thousand, six hundred eighty".