70680456 has 288 divisors, whose sum is σ = 257275200. Its totient is φ = 17107200.

The previous prime is 70680451. The next prime is 70680457. The reversal of 70680456 is 65408607.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 70680456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70680451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1158666 + ... + 1158726.

Almost surely, 2^70680456 is an apocalyptic number.

70680456 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70680456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128637600).

70680456 is an abundant number, since it is smaller than the sum of its proper divisors (186594744).

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

70680456 is a wasteful number, since it uses less digits than its factorization.

70680456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 70680456 is about 8407.1669425556. The cubic root of 70680456 is about 413.4596324640.

The spelling of 70680456 in words is "seventy million, six hundred eighty thousand, four hundred fifty-six".