70815120 has 80 divisors (see below), whose sum is σ = 221622720. Its totient is φ = 18703872.

The previous prime is 70815113. The next prime is 70815139. The reversal of 70815120 is 2151807.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×70815120² = 10029562441228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24807 + ... + 27513.

It is an arithmetic number, because the mean of its divisors is an integer number (2770284).

Almost surely, 2^70815120 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 70815120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110811360).

70815120 is an abundant number, since it is smaller than the sum of its proper divisors (150807600).

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

70815120 is a wasteful number, since it uses less digits than its factorization.

70815120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 70815120 is about 8415.1720125022. The cubic root of 70815120 is about 413.7220473201.

Adding to 70815120 its reverse (2151807), we get a palindrome (72966927).

The spelling of 70815120 in words is "seventy million, eight hundred fifteen thousand, one hundred twenty".