312153040 has 80 divisors (see below), whose sum is σ = 749202048. Its totient is φ = 120892928.

The previous prime is 312153029. The next prime is 312153041. The reversal of 312153040 is 40351213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 312152999 and 312153017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312153041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351477 + ... + 352363.

Almost surely, 2^312153040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374601024).

312153040 is an abundant number, since it is smaller than the sum of its proper divisors (437049008).

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

312153040 is a wasteful number, since it uses less digits than its factorization.

312153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 312153040 is about 17667.8532934819. The cubic root of 312153040 is about 678.3531659885.

The spelling of 312153040 in words is "three hundred twelve million, one hundred fifty-three thousand, forty".