312752640 has 160 divisors (see below), whose sum is σ = 1009774656. Its totient is φ = 82575360.

The previous prime is 312752623. The next prime is 312752651. The reversal of 312752640 is 46257213.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 312752598 and 312752607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1482135 + ... + 1482345.

Almost surely, 2^312752640 is an apocalyptic number.

312752640 is a gapful number since it is divisible by the number (30) 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 312752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504887328).

312752640 is an abundant number, since it is smaller than the sum of its proper divisors (697022016).

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

312752640 is a wasteful number, since it uses less digits than its factorization.

312752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 312752640 is about 17684.8138242957. The cubic root of 312752640 is about 678.7872270144.

The spelling of 312752640 in words is "three hundred twelve million, seven hundred fifty-two thousand, six hundred forty".