674637120 has 224 divisors, whose sum is σ = 2404506240. Its totient is φ = 178053120.

The previous prime is 674637113. The next prime is 674637133. The reversal of 674637120 is 21736476.

674637120 is a `hidden beast` number, since 6 + 7 + 4 + 637 + 12 + 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975975 + ... + 976665.

Almost surely, 2^674637120 is an apocalyptic number.

674637120 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 674637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202253120).

674637120 is an abundant number, since it is smaller than the sum of its proper divisors (1729869120).

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

674637120 is a wasteful number, since it uses less digits than its factorization.

674637120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 674637120 is about 25973.7775458249. Note that the first 3 decimals coincide. The cubic root of 674637120 is about 877.0480980925.

The spelling of 674637120 in words is "six hundred seventy-four million, six hundred thirty-seven thousand, one hundred twenty".