70171920 has 600 divisors, whose sum is σ = 323276184. Its totient is φ = 13934592.

The previous prime is 70171901. The next prime is 70171939. The reversal of 70171920 is 2917107.

It is an interprime number because it is at equal distance from previous prime (70171901) and next prime (70171939).

It can be written as a sum of positive squares in 4 ways, for example, as 5143824 + 65028096 = 2268^2 + 8064^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4127752 + ... + 4127768.

Almost surely, 2^70171920 is an apocalyptic number.

70171920 is a gapful number since it is divisible by the number (70) 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 70171920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161638092).

70171920 is an abundant number, since it is smaller than the sum of its proper divisors (253104264).

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

70171920 is a wasteful number, since it uses less digits than its factorization.

70171920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 70171920 is about 8376.8681498517. The cubic root of 70171920 is about 412.4656500322.

The spelling of 70171920 in words is "seventy million, one hundred seventy-one thousand, nine hundred twenty".