312604020 has 36 divisors (see below), whose sum is σ = 948232740. Its totient is φ = 83361024.

The previous prime is 312604001. The next prime is 312604037. The reversal of 312604020 is 20406213.

It is a happy number.

312604020 is a `hidden beast` number, since 3 + 1 + 260 + 402 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64352484 + 248251536 = 8022^2 + 15756^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312603984 and 312604002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 868165 + ... + 868524.

Almost surely, 2^312604020 is an apocalyptic number.

312604020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312604020 is an abundant number, since it is smaller than the sum of its proper divisors (635628720).

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

312604020 is a wasteful number, since it uses less digits than its factorization.

312604020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736704 (or 1736699 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 312604020 is about 17680.6114147673. The cubic root of 312604020 is about 678.6796901215.

The spelling of 312604020 in words is "three hundred twelve million, six hundred four thousand, twenty".