87253740 has 192 divisors, whose sum is σ = 318366720. Its totient is φ = 19422720.

The previous prime is 87253717. The next prime is 87253753. The reversal of 87253740 is 4735278.

87253740 is a `hidden beast` number, since 87 + 2 + 537 + 40 = 666.

It is a super-2 number, since 2×87253740² = 15226430287975200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 87253695 and 87253704.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154699 + ... + 155261.

It is an arithmetic number, because the mean of its divisors is an integer number (1658160).

Almost surely, 2^87253740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87253740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159183360).

87253740 is an abundant number, since it is smaller than the sum of its proper divisors (231112980).

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

87253740 is a wasteful number, since it uses less digits than its factorization.

87253740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 87253740 is about 9340.9710415995. The cubic root of 87253740 is about 443.5351233693.

The spelling of 87253740 in words is "eighty-seven million, two hundred fifty-three thousand, seven hundred forty".