1020972160 has 192 divisors, whose sum is σ = 2731092840. Its totient is φ = 362741760.

The previous prime is 1020972157. The next prime is 1020972187. The reversal of 1020972160 is 612790201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 157552704 + 863419456 = 12552^2 + 29384^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13985884 + ... + 13985956.

Almost surely, 2^1020972160 is an apocalyptic number.

1020972160 is a gapful number since it is divisible by the number (10) 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 1020972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365546420).

1020972160 is an abundant number, since it is smaller than the sum of its proper divisors (1710120680).

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

1020972160 is an equidigital number, since it uses as much as digits as its factorization.

1020972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 1020972160 is about 31952.6549757606. The cubic root of 1020972160 is about 1006.9424113895.

It can be divided in two parts, 10209 and 72160, that added together give a square (82369 = 287²).

The spelling of 1020972160 in words is "one billion, twenty million, nine hundred seventy-two thousand, one hundred sixty".