61351920 has 360 divisors, whose sum is σ = 251394624. Its totient is φ = 13353984.

The previous prime is 61351891. The next prime is 61351943. The reversal of 61351920 is 2915316.

61351920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 1305337 + ... + 1305383.

Almost surely, 2^61351920 is an apocalyptic number.

61351920 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 61351920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125697312).

61351920 is an abundant number, since it is smaller than the sum of its proper divisors (190042704).

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

61351920 is a wasteful number, since it uses less digits than its factorization.

61351920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 61351920 is about 7832.7466446962. The cubic root of 61351920 is about 394.4052792489.

The spelling of 61351920 in words is "sixty-one million, three hundred fifty-one thousand, nine hundred twenty".