675950400 has 168 divisors, whose sum is σ = 2464247040. Its totient is φ = 180241920.

The previous prime is 675950389. The next prime is 675950449. The reversal of 675950400 is 4059576.

675950400 is a `hidden beast` number, since 67 + 595 + 0 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35377 + ... + 51023.

Almost surely, 2^675950400 is an apocalyptic number.

675950400 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 675950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232123520).

675950400 is an abundant number, since it is smaller than the sum of its proper divisors (1788296640).

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

675950400 is a wasteful number, since it uses less digits than its factorization.

675950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15678 (or 15657 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 675950400 is about 25999.0461363489. The cubic root of 675950400 is about 877.6168300871.

The spelling of 675950400 in words is "six hundred seventy-five million, nine hundred fifty thousand, four hundred".