70928640 has 216 divisors, whose sum is σ = 252540288. Its totient is φ = 18370560.

The previous prime is 70928633. The next prime is 70928657. The reversal of 70928640 is 4682907.

70928640 is a `hidden beast` number, since 7 + 0 + 9 + 2 + 8 + 640 = 666.

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 = 70928595 and 70928604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541375 + ... + 541505.

It is an arithmetic number, because the mean of its divisors is an integer number (1169168).

It is a vampire number, since it can be written as 7860 ⋅ 9024 (with its own digits).

Almost surely, 2^70928640 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 70928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126270144).

70928640 is an abundant number, since it is smaller than the sum of its proper divisors (181611648).

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

70928640 is a wasteful number, since it uses less digits than its factorization.

70928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 70928640 is about 8421.9142717081. The cubic root of 70928640 is about 413.9430013246.

The spelling of 70928640 in words is "seventy million, nine hundred twenty-eight thousand, six hundred forty".