312617070 has 224 divisors, whose sum is σ = 927038880. Its totient is φ = 75582720.

The previous prime is 312617057. The next prime is 312617077. The reversal of 312617070 is 70716213.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312617077) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5124840 + ... + 5124900.

Almost surely, 2^312617070 is an apocalyptic number.

312617070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312617070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463519440).

312617070 is an abundant number, since it is smaller than the sum of its proper divisors (614421810).

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

312617070 is a wasteful number, since it uses less digits than its factorization.

312617070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 312617070 is about 17680.9804592392. The cubic root of 312617070 is about 678.6891340678.

The spelling of 312617070 in words is "three hundred twelve million, six hundred seventeen thousand, seventy".