1061913600 has 396 divisors, whose sum is σ = 4157702640. Its totient is φ = 256819200.

The previous prime is 1061913583. The next prime is 1061913631. The reversal of 1061913600 is 63191601.

1061913600 is a `hidden beast` number, since 10 + 619 + 1 + 36 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-2 number, since 2×1061913600² = 2255320987729920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2534191 + ... + 2534609.

Almost surely, 2^1061913600 is an apocalyptic number.

1061913600 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 1061913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078851320).

1061913600 is an abundant number, since it is smaller than the sum of its proper divisors (3095789040).

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

1061913600 is a wasteful number, since it uses less digits than its factorization.

1061913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1061913600 is about 32587.0158191879. The cubic root of 1061913600 is about 1020.2260168117.

The spelling of 1061913600 in words is "one billion, sixty-one million, nine hundred thirteen thousand, six hundred".