1006615620 has 96 divisors (see below), whose sum is σ = 3139315200. Its totient is φ = 267777792.

The previous prime is 1006615613. The next prime is 1006615627. The reversal of 1006615620 is 265166001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1006615613) and next prime (1006615627).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1006615627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244741 + ... + 248819.

It is an arithmetic number, because the mean of its divisors is an integer number (32701200).

Almost surely, 2^1006615620 is an apocalyptic number.

1006615620 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 1006615620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569657600).

1006615620 is an abundant number, since it is smaller than the sum of its proper divisors (2132699580).

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

1006615620 is a wasteful number, since it uses less digits than its factorization.

1006615620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1006615620 is about 31727.2063062602. The cubic root of 1006615620 is about 1002.2003615247.

The spelling of 1006615620 in words is "one billion, six million, six hundred fifteen thousand, six hundred twenty".