70301664 has 144 divisors (see below), whose sum is σ = 215469072. Its totient is φ = 21663744.

The previous prime is 70301659. The next prime is 70301669. The reversal of 70301664 is 46610307.

It is an interprime number because it is at equal distance from previous prime (70301659) and next prime (70301669).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×70301664² = 9884647922337792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70301669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406282 + ... + 406454.

It is an arithmetic number, because the mean of its divisors is an integer number (1496313).

Almost surely, 2^70301664 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 70301664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107734536).

70301664 is an abundant number, since it is smaller than the sum of its proper divisors (145167408).

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

70301664 is a wasteful number, since it uses less digits than its factorization.

70301664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 70301664 is about 8384.6087565253. The cubic root of 70301664 is about 412.7197022470.

The spelling of 70301664 in words is "seventy million, three hundred one thousand, six hundred sixty-four".