1061820000 has 360 divisors, whose sum is σ = 4006698696. Its totient is φ = 265728000.

The previous prime is 1061819971. The next prime is 1061820013. The reversal of 1061820000 is 281601.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1061820000² = 2254923424800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3059827 + ... + 3060173.

Almost surely, 2^1061820000 is an apocalyptic number.

1061820000 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 1061820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003349348).

1061820000 is an abundant number, since it is smaller than the sum of its proper divisors (2944878696).

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

1061820000 is a wasteful number, since it uses less digits than its factorization.

1061820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1061820000 is about 32585.5796327148. The cubic root of 1061820000 is about 1020.1960407506.

The spelling of 1061820000 in words is "one billion, sixty-one million, eight hundred twenty thousand".