61757040 has 40 divisors (see below), whose sum is σ = 191447568. Its totient is φ = 16468480.

The previous prime is 61757027. The next prime is 61757089. The reversal of 61757040 is 4075716.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 61756989 and 61757007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128421 + ... + 128900.

Almost surely, 2^61757040 is an apocalyptic number.

61757040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61757040 is an abundant number, since it is smaller than the sum of its proper divisors (129690528).

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

61757040 is a wasteful number, since it uses less digits than its factorization.

61757040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257337 (or 257331 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 61757040 is about 7858.5647544574. The cubic root of 61757040 is about 395.2714899054.

The spelling of 61757040 in words is "sixty-one million, seven hundred fifty-seven thousand, forty".