312793920 has 224 divisors, whose sum is σ = 1131661440. Its totient is φ = 81285120.

The previous prime is 312793907. The next prime is 312793927. The reversal of 312793920 is 29397213.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312793927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353799 + ... + 354681.

It is an arithmetic number, because the mean of its divisors is an integer number (5052060).

Almost surely, 2^312793920 is an apocalyptic number.

312793920 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 312793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565830720).

312793920 is an abundant number, since it is smaller than the sum of its proper divisors (818867520).

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

312793920 is a wasteful number, since it uses less digits than its factorization.

312793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 312793920 is about 17685.9808888283. The cubic root of 312793920 is about 678.8170899161.

The spelling of 312793920 in words is "three hundred twelve million, seven hundred ninety-three thousand, nine hundred twenty".