1061251872 has 96 divisors (see below), whose sum is σ = 2890702080. Its totient is φ = 340654080.

The previous prime is 1061251847. The next prime is 1061251879. The reversal of 1061251872 is 2781521601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1061251872² = 2252511071647008768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061251879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309238 + ... + 312650.

It is an arithmetic number, because the mean of its divisors is an integer number (30111480).

Almost surely, 2^1061251872 is an apocalyptic number.

1061251872 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 1061251872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445351040).

1061251872 is an abundant number, since it is smaller than the sum of its proper divisors (1829450208).

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

1061251872 is a wasteful number, since it uses less digits than its factorization.

1061251872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 1061251872 is about 32576.8609905866. The cubic root of 1061251872 is about 1020.0140559386.

The spelling of 1061251872 in words is "one billion, sixty-one million, two hundred fifty-one thousand, eight hundred seventy-two".