61952160 has 96 divisors (see below), whose sum is σ = 205450560. Its totient is φ = 15648768.

The previous prime is 61952117. The next prime is 61952173. The reversal of 61952160 is 6125916.

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

It is a super-3 number, since 3×61952160³ (a number of 24 digits) contains 333 as substring.

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

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, 5724 + ... + 12516.

It is an arithmetic number, because the mean of its divisors is an integer number (2140110).

Almost surely, 2^61952160 is an apocalyptic number.

61952160 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 61952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102725280).

61952160 is an abundant number, since it is smaller than the sum of its proper divisors (143498400).

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

61952160 is a wasteful number, since it uses less digits than its factorization.

61952160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6830 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 61952160 is about 7870.9694447380. The cubic root of 61952160 is about 395.6873360992.

The spelling of 61952160 in words is "sixty-one million, nine hundred fifty-two thousand, one hundred sixty".