675347400 has 864 divisors, whose sum is σ = 3087302400. Its totient is φ = 130636800.

The previous prime is 675347399. The next prime is 675347411. The reversal of 675347400 is 4743576.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×675347400² = 912188221373520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 21785385 + ... + 21785415.

Almost surely, 2^675347400 is an apocalyptic number.

675347400 is a gapful number since it is divisible by the number (60) 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 675347400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543651200).

675347400 is an abundant number, since it is smaller than the sum of its proper divisors (2411955000).

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

675347400 is a wasteful number, since it uses less digits than its factorization.

675347400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 675347400 is about 25987.4469696429. The cubic root of 675347400 is about 877.3557851002.

The spelling of 675347400 in words is "six hundred seventy-five million, three hundred forty-seven thousand, four hundred".