1000641600 has 420 divisors, whose sum is σ = 4207361664. Its totient is φ = 228510720.

The previous prime is 1000641599. The next prime is 1000641661. The reversal of 1000641600 is 61460001.

1000641600 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 64 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×1000641600² = 2002567223301120000, 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, 906649 + ... + 907751.

Almost surely, 2^1000641600 is an apocalyptic number.

1000641600 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 1000641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103680832).

1000641600 is an abundant number, since it is smaller than the sum of its proper divisors (3206720064).

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

1000641600 is a wasteful number, since it uses less digits than its factorization.

1000641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1000641600 is about 31632.9195617477. The cubic root of 1000641600 is about 1000.2138209440.

The spelling of 1000641600 in words is "one billion, six hundred forty-one thousand, six hundred".