61508640 has 96 divisors (see below), whose sum is σ = 195471360. Its totient is φ = 16257024.

The previous prime is 61508633. The next prime is 61508653. The reversal of 61508640 is 4680516.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 61508598 and 61508607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60456 + ... + 61464.

It is an arithmetic number, because the mean of its divisors is an integer number (2036160).

Almost surely, 2^61508640 is an apocalyptic number.

61508640 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 61508640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97735680).

61508640 is an abundant number, since it is smaller than the sum of its proper divisors (133962720).

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

61508640 is a wasteful number, since it uses less digits than its factorization.

61508640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 61508640 is about 7842.7444176130. The cubic root of 61508640 is about 394.7408223412.

The spelling of 61508640 in words is "sixty-one million, five hundred eight thousand, six hundred forty".