61951680 has 252 divisors, whose sum is σ = 248442480. Its totient is φ = 14128128.

The previous prime is 61951663. The next prime is 61951699. The reversal of 61951680 is 8615916.

61951680 is a `hidden beast` number, since 61 + 9 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140901 + ... + 141339.

Almost surely, 2^61951680 is an apocalyptic number.

61951680 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 61951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124221240).

61951680 is an abundant number, since it is smaller than the sum of its proper divisors (186490800).

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

61951680 is a wasteful number, since it uses less digits than its factorization.

61951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 61951680 is about 7870.9389528823. The cubic root of 61951680 is about 395.6863141795.

It can be divided in two parts, 6195 and 1680, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 61951680 in words is "sixty-one million, nine hundred fifty-one thousand, six hundred eighty".