70681680 has 160 divisors (see below), whose sum is σ = 249448320. Its totient is φ = 18385920.

The previous prime is 70681673. The next prime is 70681687. The reversal of 70681680 is 8618607.

70681680 = 463² + 464² + ... + 677².

It is an interprime number because it is at equal distance from previous prime (70681673) and next prime (70681687).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70681687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92500 + ... + 93260.

It is an arithmetic number, because the mean of its divisors is an integer number (1559052).

Almost surely, 2^70681680 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 70681680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124724160).

70681680 is an abundant number, since it is smaller than the sum of its proper divisors (178766640).

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

70681680 is a wasteful number, since it uses less digits than its factorization.

70681680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 70681680 is about 8407.2397372741. The cubic root of 70681680 is about 413.4620191288.

The spelling of 70681680 in words is "seventy million, six hundred eighty-one thousand, six hundred eighty".