312029640 has 192 divisors, whose sum is σ = 1111022640. Its totient is φ = 75479040.

The previous prime is 312029587. The next prime is 312029651. The reversal of 312029640 is 46920213.

312029640 is a `hidden beast` number, since 3 + 12 + 0 + 2 + 9 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 85045284 + 226984356 = 9222^2 + 15066^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284934 + ... + 286026.

Almost surely, 2^312029640 is an apocalyptic number.

312029640 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 312029640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555511320).

312029640 is an abundant number, since it is smaller than the sum of its proper divisors (798993000).

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

312029640 is a wasteful number, since it uses less digits than its factorization.

312029640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 312029640 is about 17664.3607300123. The cubic root of 312029640 is about 678.2637655952.

Adding to 312029640 its reverse (46920213), we get a palindrome (358949853).

The spelling of 312029640 in words is "three hundred twelve million, twenty-nine thousand, six hundred forty".