61503840 has 192 divisors, whose sum is σ = 224985600. Its totient is φ = 15662592.

The previous prime is 61503839. The next prime is 61503853. The reversal of 61503840 is 4830516.

61503840 is a `hidden beast` number, since 615 + 0 + 3 + 8 + 40 = 666.

61503840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99051 + ... + 99669.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 2^61503840 is an apocalyptic number.

61503840 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 61503840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

61503840 is an abundant number, since it is smaller than the sum of its proper divisors (163481760).

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

61503840 is a wasteful number, since it uses less digits than its factorization.

61503840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 61503840 is about 7842.4383963153. The cubic root of 61503840 is about 394.7305538367.

The spelling of 61503840 in words is "sixty-one million, five hundred three thousand, eight hundred forty".