312655980 has 192 divisors, whose sum is σ = 1086962688. Its totient is φ = 65387520.

The previous prime is 312655979. The next prime is 312655999. The reversal of 312655980 is 89556213.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 944415 + ... + 944745.

It is an arithmetic number, because the mean of its divisors is an integer number (5661264).

Almost surely, 2^312655980 is an apocalyptic number.

312655980 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 312655980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543481344).

312655980 is an abundant number, since it is smaller than the sum of its proper divisors (774306708).

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

312655980 is a wasteful number, since it uses less digits than its factorization.

312655980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 312655980 is about 17682.0807599106. The cubic root of 312655980 is about 678.7172906649.

The spelling of 312655980 in words is "three hundred twelve million, six hundred fifty-five thousand, nine hundred eighty".