1014069672 has 256 divisors, whose sum is σ = 3697920000. Its totient is φ = 249454080.

The previous prime is 1014069659. The next prime is 1014069739. The reversal of 1014069672 is 2769604101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314404 + ... + 317612.

It is an arithmetic number, because the mean of its divisors is an integer number (14445000).

Almost surely, 2^1014069672 is an apocalyptic number.

1014069672 is a gapful number since it is divisible by the number (12) 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 1014069672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848960000).

1014069672 is an abundant number, since it is smaller than the sum of its proper divisors (2683850328).

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

1014069672 is a wasteful number, since it uses less digits than its factorization.

1014069672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1014069672 is about 31844.4606171937. The cubic root of 1014069672 is about 1004.6680659202.

The spelling of 1014069672 in words is "one billion, fourteen million, sixty-nine thousand, six hundred seventy-two".