70359840 has 240 divisors, whose sum is σ = 255218040. Its totient is φ = 18247680.

The previous prime is 70359811. The next prime is 70359841. The reversal of 70359840 is 4895307.

It can be written as a sum of positive squares in 4 ways, for example, as 25040016 + 45319824 = 5004^2 + 6732^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 70359795 and 70359804.

It is not an unprimeable number, because it can be changed into a prime (70359841) 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, 790516 + ... + 790604.

Almost surely, 2^70359840 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 70359840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127609020).

70359840 is an abundant number, since it is smaller than the sum of its proper divisors (184858200).

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

70359840 is a wasteful number, since it uses less digits than its factorization.

70359840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 70359840 is about 8388.0772528631. The cubic root of 70359840 is about 412.8335153967.

The spelling of 70359840 in words is "seventy million, three hundred fifty-nine thousand, eight hundred forty".