61457760 has 432 divisors, whose sum is σ = 266653296. Its totient is φ = 12773376.

The previous prime is 61457749. The next prime is 61457801. The reversal of 61457760 is 6775416.

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 71 ways as a sum of consecutive naturals, for example, 917247 + ... + 917313.

It is an arithmetic number, because the mean of its divisors is an integer number (617253).

Almost surely, 2^61457760 is an apocalyptic number.

61457760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is a pronic number, being equal to 7839×7840.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61457760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133326648).

61457760 is an abundant number, since it is smaller than the sum of its proper divisors (205195536).

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

61457760 is a wasteful number, since it uses less digits than its factorization.

61457760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

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

The square root of 61457760 is about 7839.4999840551. The cubic root of 61457760 is about 394.6319489995.

The spelling of 61457760 in words is "sixty-one million, four hundred fifty-seven thousand, seven hundred sixty".