61914240 has 128 divisors (see below), whose sum is σ = 219340800. Its totient is φ = 16505856.

The previous prime is 61914239. The next prime is 61914241. The reversal of 61914240 is 4241916.

61914240 is a `hidden beast` number, since 619 + 1 + 4 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (61914239) and next prime (61914241).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×61914240² = 7666746229555200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (61914241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15489 + ... + 19071.

It is an arithmetic number, because the mean of its divisors is an integer number (1713600).

Almost surely, 2^61914240 is an apocalyptic number.

61914240 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 61914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109670400).

61914240 is an abundant number, since it is smaller than the sum of its proper divisors (157426560).

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

61914240 is a wasteful number, since it uses less digits than its factorization.

61914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 61914240 is about 7868.5602240817. The cubic root of 61914240 is about 395.6065881686.

The spelling of 61914240 in words is "sixty-one million, nine hundred fourteen thousand, two hundred forty".