1631020272 has 120 divisors (see below), whose sum is σ = 5015678976. Its totient is φ = 455140224.

The previous prime is 1631020231. The next prime is 1631020277. The reversal of 1631020272 is 2720201361.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1631020277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93073 + ... + 109199.

Almost surely, 2^1631020272 is an apocalyptic number.

1631020272 is a gapful number since it is divisible by the number (12) 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 1631020272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507839488).

1631020272 is an abundant number, since it is smaller than the sum of its proper divisors (3384658704).

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

1631020272 is a wasteful number, since it uses less digits than its factorization.

1631020272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16195 (or 16182 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1631020272 is about 40385.8919921301. The cubic root of 1631020272 is about 1177.1174186339.

The spelling of 1631020272 in words is "one billion, six hundred thirty-one million, twenty thousand, two hundred seventy-two".