57761640 has 128 divisors (see below), whose sum is σ = 195264000. Its totient is φ = 15185664.

The previous prime is 57761633. The next prime is 57761651. The reversal of 57761640 is 4616775.

57761640 is a `hidden beast` number, since 5 + 7 + 7 + 6 + 1 + 640 = 666.

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 = 57761595 and 57761604.

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, 84982 + ... + 85658.

It is an arithmetic number, because the mean of its divisors is an integer number (1525500).

Almost surely, 2^57761640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57761640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97632000).

57761640 is an abundant number, since it is smaller than the sum of its proper divisors (137502360).

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

57761640 is a wasteful number, since it uses less digits than its factorization.

57761640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 57761640 is about 7600.1078939710. The cubic root of 57761640 is about 386.5566703899.

The spelling of 57761640 in words is "fifty-seven million, seven hundred sixty-one thousand, six hundred forty".