70657920 has 320 divisors, whose sum is σ = 266587200. Its totient is φ = 17805312.

The previous prime is 70657913. The next prime is 70657921. The reversal of 70657920 is 2975607.

It is a tau number, because it is divible by the number of its divisors (320).

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 (70657921) 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, 1503337 + ... + 1503383.

It is an arithmetic number, because the mean of its divisors is an integer number (833085).

Almost surely, 2^70657920 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 70657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133293600).

70657920 is an abundant number, since it is smaller than the sum of its proper divisors (195929280).

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

70657920 is a wasteful number, since it uses less digits than its factorization.

70657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 70657920 is about 8405.8265506731. The cubic root of 70657920 is about 413.4156848285.

The spelling of 70657920 in words is "seventy million, six hundred fifty-seven thousand, nine hundred twenty".