867134400 has 252 divisors, whose sum is σ = 3129159096. Its totient is φ = 210073600.

The previous prime is 867134399. The next prime is 867134441. The reversal of 867134400 is 4431768.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 580054 + ... + 581546.

It is an arithmetic number, because the mean of its divisors is an integer number (12417298).

Almost surely, 2^867134400 is an apocalyptic number.

867134400 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 867134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564579548).

867134400 is an abundant number, since it is smaller than the sum of its proper divisors (2262024696).

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

867134400 is a wasteful number, since it uses less digits than its factorization.

867134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 867134400 is about 29447.1458718837. The cubic root of 867134400 is about 953.5909888718.

It can be divided in two parts, 8671 and 34400, that added together give a triangular number (43071 = T₂₉₃).

The spelling of 867134400 in words is "eight hundred sixty-seven million, one hundred thirty-four thousand, four hundred".