214762080 has 192 divisors, whose sum is σ = 736985088. Its totient is φ = 52254720.

The previous prime is 214762049. The next prime is 214762103. The reversal of 214762080 is 80267412.

It is a super-2 number, since 2×214762080² = 92245502011852800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 792345 + ... + 792615.

It is an arithmetic number, because the mean of its divisors is an integer number (3838464).

Almost surely, 2^214762080 is an apocalyptic number.

214762080 is a gapful number since it is divisible by the number (20) 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 214762080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368492544).

214762080 is an abundant number, since it is smaller than the sum of its proper divisors (522223008).

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

214762080 is a wasteful number, since it uses less digits than its factorization.

214762080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 214762080 is about 14654.7630482379. The cubic root of 214762080 is about 598.8515810701.

The spelling of 214762080 in words is "two hundred fourteen million, seven hundred sixty-two thousand, eighty".