867464640 has 420 divisors, whose sum is σ = 3594771576. Its totient is φ = 197987328.

The previous prime is 867464639. The next prime is 867464641. The reversal of 867464640 is 46464768.

867464640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (867464639) and next prime (867464641).

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867464641) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1269739 + ... + 1270421.

Almost surely, 2^867464640 is an apocalyptic number.

867464640 is a gapful number since it is divisible by the number (80) 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 867464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797385788).

867464640 is an abundant number, since it is smaller than the sum of its proper divisors (2727306936).

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

867464640 is a wasteful number, since it uses less digits than its factorization.

867464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 867464640 is about 29452.7526727130. The cubic root of 867464640 is about 953.7120289010.

The spelling of 867464640 in words is "eight hundred sixty-seven million, four hundred sixty-four thousand, six hundred forty".