1006372224 has 384 divisors, whose sum is σ = 3508596000. Its totient is φ = 272793600.

The previous prime is 1006372193. The next prime is 1006372229. The reversal of 1006372224 is 4222736001.

1006372224 is a `hidden beast` number, since 1 + 0 + 0 + 637 + 2 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006372229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6754102 + ... + 6754250.

Almost surely, 2^1006372224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006372224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754298000).

1006372224 is an abundant number, since it is smaller than the sum of its proper divisors (2502223776).

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

1006372224 is a wasteful number, since it uses less digits than its factorization.

1006372224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1006372224 is about 31723.3703127521. The cubic root of 1006372224 is about 1002.1195788779.

The spelling of 1006372224 in words is "one billion, six million, three hundred seventy-two thousand, two hundred twenty-four".