75649140 has 180 divisors, whose sum is σ = 276348996. Its totient is φ = 17273088.

The previous prime is 75649121. The next prime is 75649183. The reversal of 75649140 is 4194657.

75649140 is a `hidden beast` number, since 7 + 5 + 649 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29354724 + 46294416 = 5418^2 + 6804^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 75649095 and 75649104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78904 + ... + 79856.

Almost surely, 2^75649140 is an apocalyptic number.

75649140 is a gapful number since it is divisible by the number (70) 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 75649140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138174498).

75649140 is an abundant number, since it is smaller than the sum of its proper divisors (200699856).

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

75649140 is a wasteful number, since it uses less digits than its factorization.

75649140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75649140 is about 8697.6514071328. The cubic root of 75649140 is about 422.9295189647.

The spelling of 75649140 in words is "seventy-five million, six hundred forty-nine thousand, one hundred forty".