1012209264 has 160 divisors (see below), whose sum is σ = 3230150400. Its totient is φ = 300867840.

The previous prime is 1012209239. The next prime is 1012209269. The reversal of 1012209264 is 4629022101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012209269) 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, 249847 + ... + 253865.

It is an arithmetic number, because the mean of its divisors is an integer number (20188440).

Almost surely, 2^1012209264 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 1012209264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615075200).

1012209264 is an abundant number, since it is smaller than the sum of its proper divisors (2217941136).

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

1012209264 is a wasteful number, since it uses less digits than its factorization.

1012209264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1012209264 is about 31815.2363499000. The cubic root of 1012209264 is about 1004.0533032022.

It can be divided in two parts, 1012 and 209264, that added together give a triangular number (210276 = T₆₄₈).

The spelling of 1012209264 in words is "one billion, twelve million, two hundred nine thousand, two hundred sixty-four".